What is the Least Common Multiple of 78507 and 78513?

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 78513 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 78513, than apply into the LCM equation.

GCF(78507,78513) = 3
LCM(78507,78513) = ( 78507 × 78513) / 3
LCM(78507,78513) = 6163820091 / 3
LCM(78507,78513) = 2054606697

Least Common Multiple (LCM) of 78507 and 78513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78507 and 78513. First we will calculate the prime factors of 78507 and 78513.

Prime Factorization of 78507

Prime Factorization of 78513

Now multiplying the highest exponent prime factors to calculate the LCM of 78507 and 78513.

LCM(78507,78513) = 3² × 11¹ × 13¹ × 61¹ × 26171¹
LCM(78507,78513) = 2054606697