What is the Least Common Multiple of 46358 and 46376?

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 46358 and 46376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46358 and 46376, than apply into the LCM equation.

GCF(46358,46376) = 2
LCM(46358,46376) = ( 46358 × 46376) / 2
LCM(46358,46376) = 2149898608 / 2
LCM(46358,46376) = 1074949304

Least Common Multiple (LCM) of 46358 and 46376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46358 and 46376. First we will calculate the prime factors of 46358 and 46376.

Prime Factorization of 46358

Prime Factorization of 46376

Now multiplying the highest exponent prime factors to calculate the LCM of 46358 and 46376.

LCM(46358,46376) = 2³ × 13¹ × 1783¹ × 11¹ × 17¹ × 31¹
LCM(46358,46376) = 1074949304