What is the Least Common Multiple of 57975 and 57993?

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 57975 and 57993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57975 and 57993, than apply into the LCM equation.

GCF(57975,57993) = 3
LCM(57975,57993) = ( 57975 × 57993) / 3
LCM(57975,57993) = 3362144175 / 3
LCM(57975,57993) = 1120714725

Least Common Multiple (LCM) of 57975 and 57993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57975 and 57993. First we will calculate the prime factors of 57975 and 57993.

Prime Factorization of 57975

Prime Factorization of 57993

Now multiplying the highest exponent prime factors to calculate the LCM of 57975 and 57993.

LCM(57975,57993) = 3¹ × 5² × 773¹ × 13¹ × 1487¹
LCM(57975,57993) = 1120714725