What is the Least Common Multiple of 75378 and 75384?

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 75378 and 75384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75378 and 75384, than apply into the LCM equation.

GCF(75378,75384) = 6
LCM(75378,75384) = ( 75378 × 75384) / 6
LCM(75378,75384) = 5682295152 / 6
LCM(75378,75384) = 947049192

Least Common Multiple (LCM) of 75378 and 75384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75378 and 75384. First we will calculate the prime factors of 75378 and 75384.

Prime Factorization of 75378

Prime Factorization of 75384

Now multiplying the highest exponent prime factors to calculate the LCM of 75378 and 75384.

LCM(75378,75384) = 2³ × 3³ × 17¹ × 739¹ × 349¹
LCM(75378,75384) = 947049192