What is the Least Common Multiple of 22674 and 22692?

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 22674 and 22692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22674 and 22692, than apply into the LCM equation.

GCF(22674,22692) = 6
LCM(22674,22692) = ( 22674 × 22692) / 6
LCM(22674,22692) = 514518408 / 6
LCM(22674,22692) = 85753068

Least Common Multiple (LCM) of 22674 and 22692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22674 and 22692. First we will calculate the prime factors of 22674 and 22692.

Prime Factorization of 22674

Prime Factorization of 22692

Now multiplying the highest exponent prime factors to calculate the LCM of 22674 and 22692.

LCM(22674,22692) = 2² × 3¹ × 3779¹ × 31¹ × 61¹
LCM(22674,22692) = 85753068