What is the Least Common Multiple of 46350 and 46368?

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 46350 and 46368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46350 and 46368, than apply into the LCM equation.

GCF(46350,46368) = 18
LCM(46350,46368) = ( 46350 × 46368) / 18
LCM(46350,46368) = 2149156800 / 18
LCM(46350,46368) = 119397600

Least Common Multiple (LCM) of 46350 and 46368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46350 and 46368. First we will calculate the prime factors of 46350 and 46368.

Prime Factorization of 46350

Prime Factorization of 46368

Now multiplying the highest exponent prime factors to calculate the LCM of 46350 and 46368.

LCM(46350,46368) = 2⁵ × 3² × 5² × 103¹ × 7¹ × 23¹
LCM(46350,46368) = 119397600