What is the Least Common Multiple of 53142 and 53160?

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 53142 and 53160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53142 and 53160, than apply into the LCM equation.

GCF(53142,53160) = 6
LCM(53142,53160) = ( 53142 × 53160) / 6
LCM(53142,53160) = 2825028720 / 6
LCM(53142,53160) = 470838120

Least Common Multiple (LCM) of 53142 and 53160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53142 and 53160. First we will calculate the prime factors of 53142 and 53160.

Prime Factorization of 53142

Prime Factorization of 53160

Now multiplying the highest exponent prime factors to calculate the LCM of 53142 and 53160.

LCM(53142,53160) = 2³ × 3¹ × 17¹ × 521¹ × 5¹ × 443¹
LCM(53142,53160) = 470838120