What is the Least Common Multiple of 57846 and 57864?

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 57846 and 57864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57846 and 57864, than apply into the LCM equation.

GCF(57846,57864) = 6
LCM(57846,57864) = ( 57846 × 57864) / 6
LCM(57846,57864) = 3347200944 / 6
LCM(57846,57864) = 557866824

Least Common Multiple (LCM) of 57846 and 57864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57846 and 57864. First we will calculate the prime factors of 57846 and 57864.

Prime Factorization of 57846

Prime Factorization of 57864

Now multiplying the highest exponent prime factors to calculate the LCM of 57846 and 57864.

LCM(57846,57864) = 2³ × 3¹ × 31¹ × 311¹ × 2411¹
LCM(57846,57864) = 557866824