What is the Least Common Multiple of 57942 and 57962?

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 57962 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 57962, than apply into the LCM equation.

GCF(57942,57962) = 2
LCM(57942,57962) = ( 57942 × 57962) / 2
LCM(57942,57962) = 3358434204 / 2
LCM(57942,57962) = 1679217102

Least Common Multiple (LCM) of 57942 and 57962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57942 and 57962. First we will calculate the prime factors of 57942 and 57962.

Prime Factorization of 57942

Prime Factorization of 57962

Now multiplying the highest exponent prime factors to calculate the LCM of 57942 and 57962.

LCM(57942,57962) = 2¹ × 3³ × 29¹ × 37¹ × 73¹ × 397¹
LCM(57942,57962) = 1679217102