What is the Least Common Multiple of 78522 and 78538?

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 78522 and 78538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78522 and 78538, than apply into the LCM equation.

GCF(78522,78538) = 2
LCM(78522,78538) = ( 78522 × 78538) / 2
LCM(78522,78538) = 6166960836 / 2
LCM(78522,78538) = 3083480418

Least Common Multiple (LCM) of 78522 and 78538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78522 and 78538. First we will calculate the prime factors of 78522 and 78538.

Prime Factorization of 78522

Prime Factorization of 78538

Now multiplying the highest exponent prime factors to calculate the LCM of 78522 and 78538.

LCM(78522,78538) = 2¹ × 3¹ × 23¹ × 569¹ × 107¹ × 367¹
LCM(78522,78538) = 3083480418