What is the Least Common Multiple of 48459 and 48474?

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 48459 and 48474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48459 and 48474, than apply into the LCM equation.

GCF(48459,48474) = 3
LCM(48459,48474) = ( 48459 × 48474) / 3
LCM(48459,48474) = 2349001566 / 3
LCM(48459,48474) = 783000522

Least Common Multiple (LCM) of 48459 and 48474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48459 and 48474. First we will calculate the prime factors of 48459 and 48474.

Prime Factorization of 48459

Prime Factorization of 48474

Now multiplying the highest exponent prime factors to calculate the LCM of 48459 and 48474.

LCM(48459,48474) = 3² × 29¹ × 557¹ × 2¹ × 2693¹
LCM(48459,48474) = 783000522