What is the Least Common Multiple of 78478 and 78494?

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 78478 and 78494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78478 and 78494, than apply into the LCM equation.

GCF(78478,78494) = 2
LCM(78478,78494) = ( 78478 × 78494) / 2
LCM(78478,78494) = 6160052132 / 2
LCM(78478,78494) = 3080026066

Least Common Multiple (LCM) of 78478 and 78494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78478 and 78494. First we will calculate the prime factors of 78478 and 78494.

Prime Factorization of 78478

Prime Factorization of 78494

Now multiplying the highest exponent prime factors to calculate the LCM of 78478 and 78494.

LCM(78478,78494) = 2¹ × 39239¹ × 13¹ × 3019¹
LCM(78478,78494) = 3080026066