What is the Least Common Multiple of 13952 and 13971?

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 13971 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 13971, than apply into the LCM equation.

GCF(13952,13971) = 1
LCM(13952,13971) = ( 13952 × 13971) / 1
LCM(13952,13971) = 194923392 / 1
LCM(13952,13971) = 194923392

Least Common Multiple (LCM) of 13952 and 13971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13952 and 13971. First we will calculate the prime factors of 13952 and 13971.

Prime Factorization of 13952

Prime Factorization of 13971

Now multiplying the highest exponent prime factors to calculate the LCM of 13952 and 13971.

LCM(13952,13971) = 2⁷ × 109¹ × 3¹ × 4657¹
LCM(13952,13971) = 194923392