What is the Least Common Multiple of 57978 and 57992?

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 57978 and 57992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57978 and 57992, than apply into the LCM equation.

GCF(57978,57992) = 2
LCM(57978,57992) = ( 57978 × 57992) / 2
LCM(57978,57992) = 3362260176 / 2
LCM(57978,57992) = 1681130088

Least Common Multiple (LCM) of 57978 and 57992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57978 and 57992. First we will calculate the prime factors of 57978 and 57992.

Prime Factorization of 57978

Prime Factorization of 57992

Now multiplying the highest exponent prime factors to calculate the LCM of 57978 and 57992.

LCM(57978,57992) = 2³ × 3² × 3221¹ × 11¹ × 659¹
LCM(57978,57992) = 1681130088