What is the Least Common Multiple of 14916 and 14932?

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 14932 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 14932, than apply into the LCM equation.

GCF(14916,14932) = 4
LCM(14916,14932) = ( 14916 × 14932) / 4
LCM(14916,14932) = 222725712 / 4
LCM(14916,14932) = 55681428

Least Common Multiple (LCM) of 14916 and 14932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14916 and 14932. First we will calculate the prime factors of 14916 and 14932.

Prime Factorization of 14916

Prime Factorization of 14932

Now multiplying the highest exponent prime factors to calculate the LCM of 14916 and 14932.

LCM(14916,14932) = 2² × 3¹ × 11¹ × 113¹ × 3733¹
LCM(14916,14932) = 55681428