What is the Least Common Multiple of 46392 and 46407?

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 46392 and 46407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46392 and 46407, than apply into the LCM equation.

GCF(46392,46407) = 3
LCM(46392,46407) = ( 46392 × 46407) / 3
LCM(46392,46407) = 2152913544 / 3
LCM(46392,46407) = 717637848

Least Common Multiple (LCM) of 46392 and 46407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46392 and 46407. First we will calculate the prime factors of 46392 and 46407.

Prime Factorization of 46392

Prime Factorization of 46407

Now multiplying the highest exponent prime factors to calculate the LCM of 46392 and 46407.

LCM(46392,46407) = 2³ × 3¹ × 1933¹ × 31¹ × 499¹
LCM(46392,46407) = 717637848