What is the Least Common Multiple of 57942 and 57947?

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 57947 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 57947, than apply into the LCM equation.

GCF(57942,57947) = 1
LCM(57942,57947) = ( 57942 × 57947) / 1
LCM(57942,57947) = 3357565074 / 1
LCM(57942,57947) = 3357565074

Least Common Multiple (LCM) of 57942 and 57947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57942 and 57947. First we will calculate the prime factors of 57942 and 57947.

Prime Factorization of 57942

Prime Factorization of 57947

Now multiplying the highest exponent prime factors to calculate the LCM of 57942 and 57947.

LCM(57942,57947) = 2¹ × 3³ × 29¹ × 37¹ × 57947¹
LCM(57942,57947) = 3357565074