What is the Least Common Multiple of 57710 and 57725?

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 57710 and 57725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57710 and 57725, than apply into the LCM equation.

GCF(57710,57725) = 5
LCM(57710,57725) = ( 57710 × 57725) / 5
LCM(57710,57725) = 3331309750 / 5
LCM(57710,57725) = 666261950

Least Common Multiple (LCM) of 57710 and 57725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57710 and 57725. First we will calculate the prime factors of 57710 and 57725.

Prime Factorization of 57710

Prime Factorization of 57725

Now multiplying the highest exponent prime factors to calculate the LCM of 57710 and 57725.

LCM(57710,57725) = 2¹ × 5² × 29¹ × 199¹ × 2309¹
LCM(57710,57725) = 666261950