What is the Least Common Multiple of 57964 and 57972?

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 57964 and 57972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57964 and 57972, than apply into the LCM equation.

GCF(57964,57972) = 4
LCM(57964,57972) = ( 57964 × 57972) / 4
LCM(57964,57972) = 3360289008 / 4
LCM(57964,57972) = 840072252

Least Common Multiple (LCM) of 57964 and 57972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57964 and 57972. First we will calculate the prime factors of 57964 and 57972.

Prime Factorization of 57964

Prime Factorization of 57972

Now multiplying the highest exponent prime factors to calculate the LCM of 57964 and 57972.

LCM(57964,57972) = 2² × 43¹ × 337¹ × 3¹ × 4831¹
LCM(57964,57972) = 840072252