What is the Least Common Multiple of 75344 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 75344 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 75344 and 75358, than apply into the LCM equation.

GCF(75344,75358) = 2
LCM(75344,75358) = ( 75344 × 75358) / 2
LCM(75344,75358) = 5677773152 / 2
LCM(75344,75358) = 2838886576

Least Common Multiple (LCM) of 75344 and 75358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75344 and 75358. First we will calculate the prime factors of 75344 and 75358.

Prime Factorization of 75344

Prime Factorization of 75358

Now multiplying the highest exponent prime factors to calculate the LCM of 75344 and 75358.

LCM(75344,75358) = 2⁴ × 17¹ × 277¹ × 41¹ × 919¹
LCM(75344,75358) = 2838886576