What is the Least Common Multiple of 55710 and 55725?

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 55710 and 55725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55710 and 55725, than apply into the LCM equation.

GCF(55710,55725) = 15
LCM(55710,55725) = ( 55710 × 55725) / 15
LCM(55710,55725) = 3104439750 / 15
LCM(55710,55725) = 206962650

Least Common Multiple (LCM) of 55710 and 55725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55710 and 55725. First we will calculate the prime factors of 55710 and 55725.

Prime Factorization of 55710

Prime Factorization of 55725

Now multiplying the highest exponent prime factors to calculate the LCM of 55710 and 55725.

LCM(55710,55725) = 2¹ × 3² × 5² × 619¹ × 743¹
LCM(55710,55725) = 206962650