What is the Least Common Multiple of 57978 and 57984?

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 57984 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 57984, than apply into the LCM equation.

GCF(57978,57984) = 6
LCM(57978,57984) = ( 57978 × 57984) / 6
LCM(57978,57984) = 3361796352 / 6
LCM(57978,57984) = 560299392

Least Common Multiple (LCM) of 57978 and 57984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57978 and 57984. First we will calculate the prime factors of 57978 and 57984.

Prime Factorization of 57978

Prime Factorization of 57984

Now multiplying the highest exponent prime factors to calculate the LCM of 57978 and 57984.

LCM(57978,57984) = 2⁷ × 3² × 3221¹ × 151¹
LCM(57978,57984) = 560299392