What is the Least Common Multiple of 78456 and 78474?

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 78456 and 78474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78456 and 78474, than apply into the LCM equation.

GCF(78456,78474) = 6
LCM(78456,78474) = ( 78456 × 78474) / 6
LCM(78456,78474) = 6156756144 / 6
LCM(78456,78474) = 1026126024

Least Common Multiple (LCM) of 78456 and 78474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78456 and 78474. First we will calculate the prime factors of 78456 and 78474.

Prime Factorization of 78456

Prime Factorization of 78474

Now multiplying the highest exponent prime factors to calculate the LCM of 78456 and 78474.

LCM(78456,78474) = 2³ × 3¹ × 7¹ × 467¹ × 11¹ × 29¹ × 41¹
LCM(78456,78474) = 1026126024