What is the Least Common Multiple of 57972 and 57985?

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 57972 and 57985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57972 and 57985, than apply into the LCM equation.

GCF(57972,57985) = 1
LCM(57972,57985) = ( 57972 × 57985) / 1
LCM(57972,57985) = 3361506420 / 1
LCM(57972,57985) = 3361506420

Least Common Multiple (LCM) of 57972 and 57985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57972 and 57985. First we will calculate the prime factors of 57972 and 57985.

Prime Factorization of 57972

Prime Factorization of 57985

Now multiplying the highest exponent prime factors to calculate the LCM of 57972 and 57985.

LCM(57972,57985) = 2² × 3¹ × 4831¹ × 5¹ × 11597¹
LCM(57972,57985) = 3361506420