What is the Least Common Multiple of 14952 and 14972?

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 14952 and 14972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14952 and 14972, than apply into the LCM equation.

GCF(14952,14972) = 4
LCM(14952,14972) = ( 14952 × 14972) / 4
LCM(14952,14972) = 223861344 / 4
LCM(14952,14972) = 55965336

Least Common Multiple (LCM) of 14952 and 14972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14952 and 14972. First we will calculate the prime factors of 14952 and 14972.

Prime Factorization of 14952

Prime Factorization of 14972

Now multiplying the highest exponent prime factors to calculate the LCM of 14952 and 14972.

LCM(14952,14972) = 2³ × 3¹ × 7¹ × 89¹ × 19¹ × 197¹
LCM(14952,14972) = 55965336