What is the Least Common Multiple of 46371 and 46384?

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 46371 and 46384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46371 and 46384, than apply into the LCM equation.

GCF(46371,46384) = 13
LCM(46371,46384) = ( 46371 × 46384) / 13
LCM(46371,46384) = 2150872464 / 13
LCM(46371,46384) = 165451728

Least Common Multiple (LCM) of 46371 and 46384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46371 and 46384. First we will calculate the prime factors of 46371 and 46384.

Prime Factorization of 46371

Prime Factorization of 46384

Now multiplying the highest exponent prime factors to calculate the LCM of 46371 and 46384.

LCM(46371,46384) = 3¹ × 13¹ × 29¹ × 41¹ × 2⁴ × 223¹
LCM(46371,46384) = 165451728