What is the Least Common Multiple of 78468 and 78484?

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 78468 and 78484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78468 and 78484, than apply into the LCM equation.

GCF(78468,78484) = 4
LCM(78468,78484) = ( 78468 × 78484) / 4
LCM(78468,78484) = 6158482512 / 4
LCM(78468,78484) = 1539620628

Least Common Multiple (LCM) of 78468 and 78484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78468 and 78484. First we will calculate the prime factors of 78468 and 78484.

Prime Factorization of 78468

Prime Factorization of 78484

Now multiplying the highest exponent prime factors to calculate the LCM of 78468 and 78484.

LCM(78468,78484) = 2² × 3¹ × 13¹ × 503¹ × 7¹ × 2803¹
LCM(78468,78484) = 1539620628