GCF and LCM Calculator Logo

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 (LCM) of 57100 and 57105 is 652139100.

LCM(57100,57105) = 652139100

LCM Calculator and
and

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 factors of 57100 are 2, 5, 571. Prime factorization of 57100 in exponential form is:

57100 = 22 × 52 × 5711

Prime Factorization of 57105

Prime factors of 57105 are 3, 5, 47. Prime factorization of 57105 in exponential form is:

57105 = 35 × 51 × 471

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