What is the Least Common Multiple of 55713 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 55713 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 55713 and 55725, than apply into the LCM equation.

GCF(55713,55725) = 3
LCM(55713,55725) = ( 55713 × 55725) / 3
LCM(55713,55725) = 3104606925 / 3
LCM(55713,55725) = 1034868975

Least Common Multiple (LCM) of 55713 and 55725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55713 and 55725. First we will calculate the prime factors of 55713 and 55725.

Prime Factorization of 55713

Prime Factorization of 55725

Now multiplying the highest exponent prime factors to calculate the LCM of 55713 and 55725.

LCM(55713,55725) = 3¹ × 7² × 379¹ × 5² × 743¹
LCM(55713,55725) = 1034868975