What is the Least Common Multiple of 78504 and 78519?

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 78504 and 78519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78504 and 78519, than apply into the LCM equation.

GCF(78504,78519) = 3
LCM(78504,78519) = ( 78504 × 78519) / 3
LCM(78504,78519) = 6164055576 / 3
LCM(78504,78519) = 2054685192

Least Common Multiple (LCM) of 78504 and 78519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78504 and 78519. First we will calculate the prime factors of 78504 and 78519.

Prime Factorization of 78504

Prime Factorization of 78519

Now multiplying the highest exponent prime factors to calculate the LCM of 78504 and 78519.

LCM(78504,78519) = 2³ × 3¹ × 3271¹ × 7¹ × 3739¹
LCM(78504,78519) = 2054685192