What is the Least Common Multiple of 57700 and 57718?

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 57700 and 57718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57700 and 57718, than apply into the LCM equation.

GCF(57700,57718) = 2
LCM(57700,57718) = ( 57700 × 57718) / 2
LCM(57700,57718) = 3330328600 / 2
LCM(57700,57718) = 1665164300

Least Common Multiple (LCM) of 57700 and 57718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57700 and 57718. First we will calculate the prime factors of 57700 and 57718.

Prime Factorization of 57700

Prime Factorization of 57718

Now multiplying the highest exponent prime factors to calculate the LCM of 57700 and 57718.

LCM(57700,57718) = 2² × 5² × 577¹ × 28859¹
LCM(57700,57718) = 1665164300