What is the Least Common Multiple of 57842 and 57852?

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 57842 and 57852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57842 and 57852, than apply into the LCM equation.

GCF(57842,57852) = 2
LCM(57842,57852) = ( 57842 × 57852) / 2
LCM(57842,57852) = 3346275384 / 2
LCM(57842,57852) = 1673137692

Least Common Multiple (LCM) of 57842 and 57852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57842 and 57852. First we will calculate the prime factors of 57842 and 57852.

Prime Factorization of 57842

Prime Factorization of 57852

Now multiplying the highest exponent prime factors to calculate the LCM of 57842 and 57852.

LCM(57842,57852) = 2² × 28921¹ × 3² × 1607¹
LCM(57842,57852) = 1673137692