What is the Least Common Multiple of 13920 and 13938?

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 13920 and 13938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13920 and 13938, than apply into the LCM equation.

GCF(13920,13938) = 6
LCM(13920,13938) = ( 13920 × 13938) / 6
LCM(13920,13938) = 194016960 / 6
LCM(13920,13938) = 32336160

Least Common Multiple (LCM) of 13920 and 13938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13920 and 13938. First we will calculate the prime factors of 13920 and 13938.

Prime Factorization of 13920

Prime Factorization of 13938

Now multiplying the highest exponent prime factors to calculate the LCM of 13920 and 13938.

LCM(13920,13938) = 2⁵ × 3¹ × 5¹ × 29¹ × 23¹ × 101¹
LCM(13920,13938) = 32336160