### Examples

**Example 1:** Find the LCM of 9 and 12.

**Solution:**

Prime factors of 9 = 3, 3

Prime factors of 12 = 2, 2, 3

Write these prime factors into the venn diagram for each number.

Multiply each prime factor in the venn diagram to find the LCM.

Therefore, LCM(9, 12) = 36.
**Example 2:** Find the LCM of 24 and 36.

**Solution:**

Prime factors of 24 = 2, 2, 2, 3

Prime factors of 36 = 2, 2, 3, 3

Write these prime factors into the venn diagram for each number.

Multiply each prime factor in the venn diagram to find the LCM.

Therefore, LCM(24, 36) = 72.
**Example 3:** Find the LCM of 40 and 56.

**Solution:**

Prime factors of 40 = 2, 2, 2, 5

Prime factors of 56 = 2, 2, 2, 7

Write these prime factors into the venn diagram for each number.

Multiply each prime factor in the venn diagram to find the LCM.

Therefore, LCM(40, 56) = 280.

### Exercise

**1.** LCM(4,6) = 12

**2.** LCM(10,25) = 50

**3.** LCM(20,35) = 140

**4.** LCM(12, 36) = 36

**5.** LCM(45,75) = 225

**6.** LCM(35, 15) = 105

**7.** LCM(16, 20) = 80

**8.** LCM(15, 45) = 45

**9.** LCM(48, 60) = 240

**10.** LCM(30, 45) = 90