What is the Least Common Multiple of 57100 and 57105?

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 57100 and 57105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57100 and 57105, than apply into the LCM equation.

GCF(57100,57105) = 5
LCM(57100,57105) = ( 57100 × 57105) / 5
LCM(57100,57105) = 3260695500 / 5
LCM(57100,57105) = 652139100

Least Common Multiple (LCM) of 57100 and 57105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57100 and 57105. First we will calculate the prime factors of 57100 and 57105.

Prime Factorization of 57100

Prime Factorization of 57105

Now multiplying the highest exponent prime factors to calculate the LCM of 57100 and 57105.

LCM(57100,57105) = 2² × 5² × 571¹ × 3⁵ × 47¹
LCM(57100,57105) = 652139100