What is the Least Common Multiple of 75954 and 75962?

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 75954 and 75962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75954 and 75962, than apply into the LCM equation.

GCF(75954,75962) = 2
LCM(75954,75962) = ( 75954 × 75962) / 2
LCM(75954,75962) = 5769617748 / 2
LCM(75954,75962) = 2884808874

Least Common Multiple (LCM) of 75954 and 75962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75954 and 75962. First we will calculate the prime factors of 75954 and 75962.

Prime Factorization of 75954

Prime Factorization of 75962

Now multiplying the highest exponent prime factors to calculate the LCM of 75954 and 75962.

LCM(75954,75962) = 2¹ × 3¹ × 12659¹ × 19¹ × 1999¹
LCM(75954,75962) = 2884808874