What is the Least Common Multiple of 78468 and 78482?

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 78482 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 78482, than apply into the LCM equation.

GCF(78468,78482) = 2
LCM(78468,78482) = ( 78468 × 78482) / 2
LCM(78468,78482) = 6158325576 / 2
LCM(78468,78482) = 3079162788

Least Common Multiple (LCM) of 78468 and 78482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78468 and 78482. First we will calculate the prime factors of 78468 and 78482.

Prime Factorization of 78468

Prime Factorization of 78482

Now multiplying the highest exponent prime factors to calculate the LCM of 78468 and 78482.

LCM(78468,78482) = 2² × 3¹ × 13¹ × 503¹ × 39241¹
LCM(78468,78482) = 3079162788