What is the Least Common Multiple of 22920 and 22932?

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 22920 and 22932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22920 and 22932, than apply into the LCM equation.

GCF(22920,22932) = 12
LCM(22920,22932) = ( 22920 × 22932) / 12
LCM(22920,22932) = 525601440 / 12
LCM(22920,22932) = 43800120

Least Common Multiple (LCM) of 22920 and 22932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22920 and 22932. First we will calculate the prime factors of 22920 and 22932.

Prime Factorization of 22920

Prime Factorization of 22932

Now multiplying the highest exponent prime factors to calculate the LCM of 22920 and 22932.

LCM(22920,22932) = 2³ × 3² × 5¹ × 191¹ × 7² × 13¹
LCM(22920,22932) = 43800120