What is the Least Common Multiple of 46464 and 46479?

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 46464 and 46479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46464 and 46479, than apply into the LCM equation.

GCF(46464,46479) = 3
LCM(46464,46479) = ( 46464 × 46479) / 3
LCM(46464,46479) = 2159600256 / 3
LCM(46464,46479) = 719866752

Least Common Multiple (LCM) of 46464 and 46479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46464 and 46479. First we will calculate the prime factors of 46464 and 46479.

Prime Factorization of 46464

Prime Factorization of 46479

Now multiplying the highest exponent prime factors to calculate the LCM of 46464 and 46479.

LCM(46464,46479) = 2⁷ × 3¹ × 11² × 15493¹
LCM(46464,46479) = 719866752