What is the Least Common Multiple of 57984 and 57996?

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 57984 and 57996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57984 and 57996, than apply into the LCM equation.

GCF(57984,57996) = 12
LCM(57984,57996) = ( 57984 × 57996) / 12
LCM(57984,57996) = 3362840064 / 12
LCM(57984,57996) = 280236672

Least Common Multiple (LCM) of 57984 and 57996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57984 and 57996. First we will calculate the prime factors of 57984 and 57996.

Prime Factorization of 57984

Prime Factorization of 57996

Now multiplying the highest exponent prime factors to calculate the LCM of 57984 and 57996.

LCM(57984,57996) = 2⁷ × 3⁴ × 151¹ × 179¹
LCM(57984,57996) = 280236672