What is the Least Common Multiple of 46164 and 46183?

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 46164 and 46183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46164 and 46183, than apply into the LCM equation.

GCF(46164,46183) = 1
LCM(46164,46183) = ( 46164 × 46183) / 1
LCM(46164,46183) = 2131992012 / 1
LCM(46164,46183) = 2131992012

Least Common Multiple (LCM) of 46164 and 46183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46164 and 46183. First we will calculate the prime factors of 46164 and 46183.

Prime Factorization of 46164

Prime Factorization of 46183

Now multiplying the highest exponent prime factors to calculate the LCM of 46164 and 46183.

LCM(46164,46183) = 2² × 3¹ × 3847¹ × 46183¹
LCM(46164,46183) = 2131992012