What is the Least Common Multiple of 57942 and 57960?

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 57942 and 57960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57942 and 57960, than apply into the LCM equation.

GCF(57942,57960) = 18
LCM(57942,57960) = ( 57942 × 57960) / 18
LCM(57942,57960) = 3358318320 / 18
LCM(57942,57960) = 186573240

Least Common Multiple (LCM) of 57942 and 57960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57942 and 57960. First we will calculate the prime factors of 57942 and 57960.

Prime Factorization of 57942

Prime Factorization of 57960

Now multiplying the highest exponent prime factors to calculate the LCM of 57942 and 57960.

LCM(57942,57960) = 2³ × 3³ × 29¹ × 37¹ × 5¹ × 7¹ × 23¹
LCM(57942,57960) = 186573240