What is the Least Common Multiple of 78509 and 78524?

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 78509 and 78524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78509 and 78524, than apply into the LCM equation.

GCF(78509,78524) = 1
LCM(78509,78524) = ( 78509 × 78524) / 1
LCM(78509,78524) = 6164840716 / 1
LCM(78509,78524) = 6164840716

Least Common Multiple (LCM) of 78509 and 78524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78509 and 78524. First we will calculate the prime factors of 78509 and 78524.

Prime Factorization of 78509

Prime Factorization of 78524

Now multiplying the highest exponent prime factors to calculate the LCM of 78509 and 78524.

LCM(78509,78524) = 78509¹ × 2² × 67¹ × 293¹
LCM(78509,78524) = 6164840716