What is the Least Common Multiple of 78510 and 78515?

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 78510 and 78515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78510 and 78515, than apply into the LCM equation.

GCF(78510,78515) = 5
LCM(78510,78515) = ( 78510 × 78515) / 5
LCM(78510,78515) = 6164212650 / 5
LCM(78510,78515) = 1232842530

Least Common Multiple (LCM) of 78510 and 78515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78510 and 78515. First we will calculate the prime factors of 78510 and 78515.

Prime Factorization of 78510

Prime Factorization of 78515

Now multiplying the highest exponent prime factors to calculate the LCM of 78510 and 78515.

LCM(78510,78515) = 2¹ × 3¹ × 5¹ × 2617¹ × 41¹ × 383¹
LCM(78510,78515) = 1232842530