What is the Least Common Multiple of 78507 and 78522?

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 78507 and 78522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78507 and 78522, than apply into the LCM equation.

GCF(78507,78522) = 3
LCM(78507,78522) = ( 78507 × 78522) / 3
LCM(78507,78522) = 6164526654 / 3
LCM(78507,78522) = 2054842218

Least Common Multiple (LCM) of 78507 and 78522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78507 and 78522. First we will calculate the prime factors of 78507 and 78522.

Prime Factorization of 78507

Prime Factorization of 78522

Now multiplying the highest exponent prime factors to calculate the LCM of 78507 and 78522.

LCM(78507,78522) = 3² × 11¹ × 13¹ × 61¹ × 2¹ × 23¹ × 569¹
LCM(78507,78522) = 2054842218