What is the Least Common Multiple of 46076 and 46087?

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 46076 and 46087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46076 and 46087, than apply into the LCM equation.

GCF(46076,46087) = 1
LCM(46076,46087) = ( 46076 × 46087) / 1
LCM(46076,46087) = 2123504612 / 1
LCM(46076,46087) = 2123504612

Least Common Multiple (LCM) of 46076 and 46087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46076 and 46087. First we will calculate the prime factors of 46076 and 46087.

Prime Factorization of 46076

Prime Factorization of 46087

Now multiplying the highest exponent prime factors to calculate the LCM of 46076 and 46087.

LCM(46076,46087) = 2² × 11519¹ × 17¹ × 2711¹
LCM(46076,46087) = 2123504612