What is the Least Common Multiple of 46041 and 46059?

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 46041 and 46059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46041 and 46059, than apply into the LCM equation.

GCF(46041,46059) = 3
LCM(46041,46059) = ( 46041 × 46059) / 3
LCM(46041,46059) = 2120602419 / 3
LCM(46041,46059) = 706867473

Least Common Multiple (LCM) of 46041 and 46059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46041 and 46059. First we will calculate the prime factors of 46041 and 46059.

Prime Factorization of 46041

Prime Factorization of 46059

Now multiplying the highest exponent prime factors to calculate the LCM of 46041 and 46059.

LCM(46041,46059) = 3¹ × 103¹ × 149¹ × 13¹ × 1181¹
LCM(46041,46059) = 706867473