What is the Least Common Multiple of 13920 and 13932?

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 13932 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 13932, than apply into the LCM equation.

GCF(13920,13932) = 12
LCM(13920,13932) = ( 13920 × 13932) / 12
LCM(13920,13932) = 193933440 / 12
LCM(13920,13932) = 16161120

Least Common Multiple (LCM) of 13920 and 13932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13920 and 13932. First we will calculate the prime factors of 13920 and 13932.

Prime Factorization of 13920

Prime Factorization of 13932

Now multiplying the highest exponent prime factors to calculate the LCM of 13920 and 13932.

LCM(13920,13932) = 2⁵ × 3⁴ × 5¹ × 29¹ × 43¹
LCM(13920,13932) = 16161120