What is the Least Common Multiple of 22920 and 22931?

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 22931 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 22931, than apply into the LCM equation.

GCF(22920,22931) = 1
LCM(22920,22931) = ( 22920 × 22931) / 1
LCM(22920,22931) = 525578520 / 1
LCM(22920,22931) = 525578520

Least Common Multiple (LCM) of 22920 and 22931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22920 and 22931. First we will calculate the prime factors of 22920 and 22931.

Prime Factorization of 22920

Prime Factorization of 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 22920 and 22931.

LCM(22920,22931) = 2³ × 3¹ × 5¹ × 191¹ × 23¹ × 997¹
LCM(22920,22931) = 525578520