What is the Least Common Multiple of 14916 and 14925?

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 14916 and 14925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14916 and 14925, than apply into the LCM equation.

GCF(14916,14925) = 3
LCM(14916,14925) = ( 14916 × 14925) / 3
LCM(14916,14925) = 222621300 / 3
LCM(14916,14925) = 74207100

Least Common Multiple (LCM) of 14916 and 14925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14916 and 14925. First we will calculate the prime factors of 14916 and 14925.

Prime Factorization of 14916

Prime Factorization of 14925

Now multiplying the highest exponent prime factors to calculate the LCM of 14916 and 14925.

LCM(14916,14925) = 2² × 3¹ × 11¹ × 113¹ × 5² × 199¹
LCM(14916,14925) = 74207100