What is the Least Common Multiple of 13952 and 13972?

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 13952 and 13972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13952 and 13972, than apply into the LCM equation.

GCF(13952,13972) = 4
LCM(13952,13972) = ( 13952 × 13972) / 4
LCM(13952,13972) = 194937344 / 4
LCM(13952,13972) = 48734336

Least Common Multiple (LCM) of 13952 and 13972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13952 and 13972. First we will calculate the prime factors of 13952 and 13972.

Prime Factorization of 13952

Prime Factorization of 13972

Now multiplying the highest exponent prime factors to calculate the LCM of 13952 and 13972.

LCM(13952,13972) = 2⁷ × 109¹ × 7¹ × 499¹
LCM(13952,13972) = 48734336