What is the Least Common Multiple of 24924 and 24928?

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 24924 and 24928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24924 and 24928, than apply into the LCM equation.

GCF(24924,24928) = 4
LCM(24924,24928) = ( 24924 × 24928) / 4
LCM(24924,24928) = 621305472 / 4
LCM(24924,24928) = 155326368

Least Common Multiple (LCM) of 24924 and 24928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24924 and 24928. First we will calculate the prime factors of 24924 and 24928.

Prime Factorization of 24924

Prime Factorization of 24928

Now multiplying the highest exponent prime factors to calculate the LCM of 24924 and 24928.

LCM(24924,24928) = 2⁵ × 3¹ × 31¹ × 67¹ × 19¹ × 41¹
LCM(24924,24928) = 155326368