What is the Least Common Multiple of 13152 and 13160?

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 13152 and 13160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13152 and 13160, than apply into the LCM equation.

GCF(13152,13160) = 8
LCM(13152,13160) = ( 13152 × 13160) / 8
LCM(13152,13160) = 173080320 / 8
LCM(13152,13160) = 21635040

Least Common Multiple (LCM) of 13152 and 13160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13152 and 13160. First we will calculate the prime factors of 13152 and 13160.

Prime Factorization of 13152

Prime Factorization of 13160

Now multiplying the highest exponent prime factors to calculate the LCM of 13152 and 13160.

LCM(13152,13160) = 2⁵ × 3¹ × 137¹ × 5¹ × 7¹ × 47¹
LCM(13152,13160) = 21635040