What is the Least Common Multiple of 57862 and 57876?

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 57862 and 57876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57862 and 57876, than apply into the LCM equation.

GCF(57862,57876) = 14
LCM(57862,57876) = ( 57862 × 57876) / 14
LCM(57862,57876) = 3348821112 / 14
LCM(57862,57876) = 239201508

Least Common Multiple (LCM) of 57862 and 57876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57862 and 57876. First we will calculate the prime factors of 57862 and 57876.

Prime Factorization of 57862

Prime Factorization of 57876

Now multiplying the highest exponent prime factors to calculate the LCM of 57862 and 57876.

LCM(57862,57876) = 2² × 7¹ × 4133¹ × 3¹ × 13¹ × 53¹
LCM(57862,57876) = 239201508