What is the Least Common Multiple of 75378 and 75391?

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 75391 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 75391, than apply into the LCM equation.

GCF(75378,75391) = 1
LCM(75378,75391) = ( 75378 × 75391) / 1
LCM(75378,75391) = 5682822798 / 1
LCM(75378,75391) = 5682822798

Least Common Multiple (LCM) of 75378 and 75391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75378 and 75391. First we will calculate the prime factors of 75378 and 75391.

Prime Factorization of 75378

Prime Factorization of 75391

Now multiplying the highest exponent prime factors to calculate the LCM of 75378 and 75391.

LCM(75378,75391) = 2¹ × 3¹ × 17¹ × 739¹ × 75391¹
LCM(75378,75391) = 5682822798