What is the Least Common Multiple of 78528 and 78537?

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 78528 and 78537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78528 and 78537, than apply into the LCM equation.

GCF(78528,78537) = 3
LCM(78528,78537) = ( 78528 × 78537) / 3
LCM(78528,78537) = 6167353536 / 3
LCM(78528,78537) = 2055784512

Least Common Multiple (LCM) of 78528 and 78537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78528 and 78537. First we will calculate the prime factors of 78528 and 78537.

Prime Factorization of 78528

Prime Factorization of 78537

Now multiplying the highest exponent prime factors to calculate the LCM of 78528 and 78537.

LCM(78528,78537) = 2⁶ × 3¹ × 409¹ × 47¹ × 557¹
LCM(78528,78537) = 2055784512