What is the Least Common Multiple of 22665 and 22680?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22665 and 22680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22665 and 22680, than apply into the LCM equation.

GCF(22665,22680) = 15
LCM(22665,22680) = ( 22665 × 22680) / 15
LCM(22665,22680) = 514042200 / 15
LCM(22665,22680) = 34269480

Least Common Multiple (LCM) of 22665 and 22680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22665 and 22680. First we will calculate the prime factors of 22665 and 22680.

Prime Factorization of 22665

Prime Factorization of 22680

Now multiplying the highest exponent prime factors to calculate the LCM of 22665 and 22680.

LCM(22665,22680) = 3⁴ × 5¹ × 1511¹ × 2³ × 7¹
LCM(22665,22680) = 34269480