What is the Least Common Multiple of 53136 and 53142?

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 53136 and 53142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53136 and 53142, than apply into the LCM equation.

GCF(53136,53142) = 6
LCM(53136,53142) = ( 53136 × 53142) / 6
LCM(53136,53142) = 2823753312 / 6
LCM(53136,53142) = 470625552

Least Common Multiple (LCM) of 53136 and 53142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53136 and 53142. First we will calculate the prime factors of 53136 and 53142.

Prime Factorization of 53136

Prime Factorization of 53142

Now multiplying the highest exponent prime factors to calculate the LCM of 53136 and 53142.

LCM(53136,53142) = 2⁴ × 3⁴ × 41¹ × 17¹ × 521¹
LCM(53136,53142) = 470625552