What is the Least Common Multiple of 22659 and 22672?

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 22659 and 22672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22659 and 22672, than apply into the LCM equation.

GCF(22659,22672) = 13
LCM(22659,22672) = ( 22659 × 22672) / 13
LCM(22659,22672) = 513724848 / 13
LCM(22659,22672) = 39517296

Least Common Multiple (LCM) of 22659 and 22672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22659 and 22672. First we will calculate the prime factors of 22659 and 22672.

Prime Factorization of 22659

Prime Factorization of 22672

Now multiplying the highest exponent prime factors to calculate the LCM of 22659 and 22672.

LCM(22659,22672) = 3¹ × 7¹ × 13¹ × 83¹ × 2⁴ × 109¹
LCM(22659,22672) = 39517296