What is the Least Common Multiple of 75348 and 75358?

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 75348 and 75358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75348 and 75358, than apply into the LCM equation.

GCF(75348,75358) = 2
LCM(75348,75358) = ( 75348 × 75358) / 2
LCM(75348,75358) = 5678074584 / 2
LCM(75348,75358) = 2839037292

Least Common Multiple (LCM) of 75348 and 75358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75348 and 75358. First we will calculate the prime factors of 75348 and 75358.

Prime Factorization of 75348

Prime Factorization of 75358

Now multiplying the highest exponent prime factors to calculate the LCM of 75348 and 75358.

LCM(75348,75358) = 2² × 3² × 7¹ × 13¹ × 23¹ × 41¹ × 919¹
LCM(75348,75358) = 2839037292