### Examples

**Example 1:** Find the LCM of 18 and 24.

**Solution:**

Prime factorization of 18: 18 = 2, 3, 3

Prime factorization of 24: 24 = 2, 2, 2, 3

Take the common factors once and remaining unique factors.

Multiply them together to get LCM.

Therefore, LCM(18, 24) = 72.
**Example 2:** Find the LCM of 30 and 45.

**Solution:**

Prime factorization of 30: 30 = 2, 3, 5

Prime factorization of 45: 45 = 3, 3, 5

Take the common factors once and remaining unique factors.

Multiply them together to get LCM.

Therefore, LCM(30, 45) = 90.
**Example 3:** Find the LCM of 2 and 10.

**Solution:**

Prime factorization of 2: 2 = 2

Prime factorization of 10: 10 = 2, 5

Take the common factors once and remaining unique factors.

Multiply them together to get LCM.

Therefore, LCM(2, 10) = 10.

### Exercise

**1.** LCM(8,12) = 24

**2.** LCM(36,48) = 144

**3.** LCM(27,36) = 108

**4.** LCM(24,36) = 72

**5.** LCM(3,7) = 21

**6.** LCM(13, 17) = 221

**7.** LCM(6,15) = 30

**8.** LCM(11,15) = 165

**9.** LCM(60,90) = 180

**10.** LCM(35,48) = 1680