What is the Least Common Multiple of 46584 and 46599?

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 46584 and 46599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46584 and 46599, than apply into the LCM equation.

GCF(46584,46599) = 3
LCM(46584,46599) = ( 46584 × 46599) / 3
LCM(46584,46599) = 2170767816 / 3
LCM(46584,46599) = 723589272

Least Common Multiple (LCM) of 46584 and 46599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46584 and 46599. First we will calculate the prime factors of 46584 and 46599.

Prime Factorization of 46584

Prime Factorization of 46599

Now multiplying the highest exponent prime factors to calculate the LCM of 46584 and 46599.

LCM(46584,46599) = 2³ × 3² × 647¹ × 7² × 317¹
LCM(46584,46599) = 723589272