To find least common multiple by using prime factorization method is discussed here.

**Step I:**

Resolve each given number into its prime factors and express the factors obtained in exponent form. **Step I:**

Find the product of the highest powers of all the factors that occur in any of the given numbers. **Step III:**

The product obtained in Step II is the required least common multiple (L.C.M).

**For example: **

**1. Find the least common multiple (L.C.M) of 9 and 15 by using prime factorization method. **

*Solution:*

**Step I:**

Resolving each given number into its prime factors.

9 = 3 × 3 = 3².

15 = 3 × 5.

**Step II:**

The product of all the factors with highest powers.

= 3^2 × 5 = 3 × 3 × 5 = 45.

**Step III:**

The required least common multiple (L.C.M) of 9 and 15 = 45.

**2. What is the least common multiple (L.C.M) of 16 and 28 by using prime factorization method?**

*Solution:*

**Step I:**

Resolving each given number into its prime factors.

16 = 2 × 2 × 2 × 2 = 2⁴.

28 = 2 × 2 × 7 = 2² × 7.

**Step II:**

The product of all the factors with highest powers.

= 2^4 × 7 = 2 × 2 × 2 × 2 ×7 = 112.

**Step III:**

The required least common multiple (L.C.M) of 16 and 28 = 112.

**Common Multiples.****Least Common Multiple (L.C.M).****To find Least Common Multiple by using Prime Factorization Method.****Examples to find Least Common Multiple by using Prime Factorization Method.**

**To Find Lowest Common Multiple by using Division Method**

**Examples to find Least Common Multiple of two numbers by using Division Method****Examples to find Least Common Multiple of three numbers by using Division Method**

**Relationship between H.C.F. and L.C.M.**

**Worksheet on H.C.F. and L.C.M.**

**Word problems on H.C.F. and L.C.M.**

**Worksheet on word problems on H.C.F. and L.C.M.**

**5th Grade Numbers Page**** ****5th Grade Math Problems**** ****From To find Least Common Multiple by using Prime Factorization Method to HOME PAGE**

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