What is the Least Common Multiple of 46652 and 46658?

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 46652 and 46658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46652 and 46658, than apply into the LCM equation.

GCF(46652,46658) = 2
LCM(46652,46658) = ( 46652 × 46658) / 2
LCM(46652,46658) = 2176689016 / 2
LCM(46652,46658) = 1088344508

Least Common Multiple (LCM) of 46652 and 46658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46652 and 46658. First we will calculate the prime factors of 46652 and 46658.

Prime Factorization of 46652

Prime Factorization of 46658

Now multiplying the highest exponent prime factors to calculate the LCM of 46652 and 46658.

LCM(46652,46658) = 2² × 107¹ × 109¹ × 41¹ × 569¹
LCM(46652,46658) = 1088344508