What is the Least Common Multiple of 22920 and 22928?

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 22928 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 22928, than apply into the LCM equation.

GCF(22920,22928) = 8
LCM(22920,22928) = ( 22920 × 22928) / 8
LCM(22920,22928) = 525509760 / 8
LCM(22920,22928) = 65688720

Least Common Multiple (LCM) of 22920 and 22928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22920 and 22928. First we will calculate the prime factors of 22920 and 22928.

Prime Factorization of 22920

Prime Factorization of 22928

Now multiplying the highest exponent prime factors to calculate the LCM of 22920 and 22928.

LCM(22920,22928) = 2⁴ × 3¹ × 5¹ × 191¹ × 1433¹
LCM(22920,22928) = 65688720