What is the Least Common Multiple of 75846 and 75864?

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 75846 and 75864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75846 and 75864, than apply into the LCM equation.

GCF(75846,75864) = 6
LCM(75846,75864) = ( 75846 × 75864) / 6
LCM(75846,75864) = 5753980944 / 6
LCM(75846,75864) = 958996824

Least Common Multiple (LCM) of 75846 and 75864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75846 and 75864. First we will calculate the prime factors of 75846 and 75864.

Prime Factorization of 75846

Prime Factorization of 75864

Now multiplying the highest exponent prime factors to calculate the LCM of 75846 and 75864.

LCM(75846,75864) = 2³ × 3¹ × 12641¹ × 29¹ × 109¹
LCM(75846,75864) = 958996824