What is the Least Common Multiple of 82376 and 82390?

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 82376 and 82390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82376 and 82390, than apply into the LCM equation.

GCF(82376,82390) = 14
LCM(82376,82390) = ( 82376 × 82390) / 14
LCM(82376,82390) = 6786958640 / 14
LCM(82376,82390) = 484782760

Least Common Multiple (LCM) of 82376 and 82390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82376 and 82390. First we will calculate the prime factors of 82376 and 82390.

Prime Factorization of 82376

Prime Factorization of 82390

Now multiplying the highest exponent prime factors to calculate the LCM of 82376 and 82390.

LCM(82376,82390) = 2³ × 7¹ × 1471¹ × 5¹ × 11¹ × 107¹
LCM(82376,82390) = 484782760