What is the Least Common Multiple of 57975 and 57980?

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 57980 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 57980, than apply into the LCM equation.

GCF(57975,57980) = 5
LCM(57975,57980) = ( 57975 × 57980) / 5
LCM(57975,57980) = 3361390500 / 5
LCM(57975,57980) = 672278100

Least Common Multiple (LCM) of 57975 and 57980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57975 and 57980. First we will calculate the prime factors of 57975 and 57980.

Prime Factorization of 57975

Prime Factorization of 57980

Now multiplying the highest exponent prime factors to calculate the LCM of 57975 and 57980.

LCM(57975,57980) = 3¹ × 5² × 773¹ × 2² × 13¹ × 223¹
LCM(57975,57980) = 672278100