What is the Least Common Multiple of 53160 and 53175?

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 53160 and 53175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53160 and 53175, than apply into the LCM equation.

GCF(53160,53175) = 15
LCM(53160,53175) = ( 53160 × 53175) / 15
LCM(53160,53175) = 2826783000 / 15
LCM(53160,53175) = 188452200

Least Common Multiple (LCM) of 53160 and 53175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53160 and 53175. First we will calculate the prime factors of 53160 and 53175.

Prime Factorization of 53160

Prime Factorization of 53175

Now multiplying the highest exponent prime factors to calculate the LCM of 53160 and 53175.

LCM(53160,53175) = 2³ × 3¹ × 5² × 443¹ × 709¹
LCM(53160,53175) = 188452200