What is the Least Common Multiple of 57960 and 57966?

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 57960 and 57966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57960 and 57966, than apply into the LCM equation.

GCF(57960,57966) = 6
LCM(57960,57966) = ( 57960 × 57966) / 6
LCM(57960,57966) = 3359709360 / 6
LCM(57960,57966) = 559951560

Least Common Multiple (LCM) of 57960 and 57966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57960 and 57966. First we will calculate the prime factors of 57960 and 57966.

Prime Factorization of 57960

Prime Factorization of 57966

Now multiplying the highest exponent prime factors to calculate the LCM of 57960 and 57966.

LCM(57960,57966) = 2³ × 3² × 5¹ × 7¹ × 23¹ × 9661¹
LCM(57960,57966) = 559951560