What is the Least Common Multiple of 24896 and 24912?

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 24896 and 24912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24896 and 24912, than apply into the LCM equation.

GCF(24896,24912) = 16
LCM(24896,24912) = ( 24896 × 24912) / 16
LCM(24896,24912) = 620209152 / 16
LCM(24896,24912) = 38763072

Least Common Multiple (LCM) of 24896 and 24912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24896 and 24912. First we will calculate the prime factors of 24896 and 24912.

Prime Factorization of 24896

Prime Factorization of 24912

Now multiplying the highest exponent prime factors to calculate the LCM of 24896 and 24912.

LCM(24896,24912) = 2⁶ × 389¹ × 3² × 173¹
LCM(24896,24912) = 38763072