What is the Least Common Multiple of 46359 and 46373?

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 46359 and 46373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46359 and 46373, than apply into the LCM equation.

GCF(46359,46373) = 1
LCM(46359,46373) = ( 46359 × 46373) / 1
LCM(46359,46373) = 2149805907 / 1
LCM(46359,46373) = 2149805907

Least Common Multiple (LCM) of 46359 and 46373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46359 and 46373. First we will calculate the prime factors of 46359 and 46373.

Prime Factorization of 46359

Prime Factorization of 46373

Now multiplying the highest exponent prime factors to calculate the LCM of 46359 and 46373.

LCM(46359,46373) = 3³ × 17¹ × 101¹ × 79¹ × 587¹
LCM(46359,46373) = 2149805907