What is the Least Common Multiple of 78519 and 78530?

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 78519 and 78530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78519 and 78530, than apply into the LCM equation.

GCF(78519,78530) = 1
LCM(78519,78530) = ( 78519 × 78530) / 1
LCM(78519,78530) = 6166097070 / 1
LCM(78519,78530) = 6166097070

Least Common Multiple (LCM) of 78519 and 78530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78519 and 78530. First we will calculate the prime factors of 78519 and 78530.

Prime Factorization of 78519

Prime Factorization of 78530

Now multiplying the highest exponent prime factors to calculate the LCM of 78519 and 78530.

LCM(78519,78530) = 3¹ × 7¹ × 3739¹ × 2¹ × 5¹ × 7853¹
LCM(78519,78530) = 6166097070