What is the Least Common Multiple of 85376 and 85383?

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 85376 and 85383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85376 and 85383, than apply into the LCM equation.

GCF(85376,85383) = 1
LCM(85376,85383) = ( 85376 × 85383) / 1
LCM(85376,85383) = 7289659008 / 1
LCM(85376,85383) = 7289659008

Least Common Multiple (LCM) of 85376 and 85383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85376 and 85383. First we will calculate the prime factors of 85376 and 85383.

Prime Factorization of 85376

Prime Factorization of 85383

Now multiplying the highest exponent prime factors to calculate the LCM of 85376 and 85383.

LCM(85376,85383) = 2⁷ × 23¹ × 29¹ × 3² × 53¹ × 179¹
LCM(85376,85383) = 7289659008