What is the Least Common Multiple of 46364 and 46381?

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 46364 and 46381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46364 and 46381, than apply into the LCM equation.

GCF(46364,46381) = 1
LCM(46364,46381) = ( 46364 × 46381) / 1
LCM(46364,46381) = 2150408684 / 1
LCM(46364,46381) = 2150408684

Least Common Multiple (LCM) of 46364 and 46381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46364 and 46381. First we will calculate the prime factors of 46364 and 46381.

Prime Factorization of 46364

Prime Factorization of 46381

Now multiplying the highest exponent prime factors to calculate the LCM of 46364 and 46381.

LCM(46364,46381) = 2² × 67¹ × 173¹ × 46381¹
LCM(46364,46381) = 2150408684