What is the Least Common Multiple of 13120 and 13128?

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 13120 and 13128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13120 and 13128, than apply into the LCM equation.

GCF(13120,13128) = 8
LCM(13120,13128) = ( 13120 × 13128) / 8
LCM(13120,13128) = 172239360 / 8
LCM(13120,13128) = 21529920

Least Common Multiple (LCM) of 13120 and 13128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13120 and 13128. First we will calculate the prime factors of 13120 and 13128.

Prime Factorization of 13120

Prime Factorization of 13128

Now multiplying the highest exponent prime factors to calculate the LCM of 13120 and 13128.

LCM(13120,13128) = 2⁶ × 5¹ × 41¹ × 3¹ × 547¹
LCM(13120,13128) = 21529920