What is the Least Common Multiple of 46701 and 46721?

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 46701 and 46721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46701 and 46721, than apply into the LCM equation.

GCF(46701,46721) = 1
LCM(46701,46721) = ( 46701 × 46721) / 1
LCM(46701,46721) = 2181917421 / 1
LCM(46701,46721) = 2181917421

Least Common Multiple (LCM) of 46701 and 46721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46701 and 46721. First we will calculate the prime factors of 46701 and 46721.

Prime Factorization of 46701

Prime Factorization of 46721

Now multiplying the highest exponent prime factors to calculate the LCM of 46701 and 46721.

LCM(46701,46721) = 3² × 5189¹ × 19¹ × 2459¹
LCM(46701,46721) = 2181917421