What is the Least Common Multiple of 75344 and 75348?

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 75348 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 75348, than apply into the LCM equation.

GCF(75344,75348) = 4
LCM(75344,75348) = ( 75344 × 75348) / 4
LCM(75344,75348) = 5677019712 / 4
LCM(75344,75348) = 1419254928

Least Common Multiple (LCM) of 75344 and 75348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75344 and 75348. First we will calculate the prime factors of 75344 and 75348.

Prime Factorization of 75344

Prime Factorization of 75348

Now multiplying the highest exponent prime factors to calculate the LCM of 75344 and 75348.

LCM(75344,75348) = 2⁴ × 17¹ × 277¹ × 3² × 7¹ × 13¹ × 23¹
LCM(75344,75348) = 1419254928