What is the Least Common Multiple of 46686 and 46701?

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 46686 and 46701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46686 and 46701, than apply into the LCM equation.

GCF(46686,46701) = 3
LCM(46686,46701) = ( 46686 × 46701) / 3
LCM(46686,46701) = 2180282886 / 3
LCM(46686,46701) = 726760962

Least Common Multiple (LCM) of 46686 and 46701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46686 and 46701. First we will calculate the prime factors of 46686 and 46701.

Prime Factorization of 46686

Prime Factorization of 46701

Now multiplying the highest exponent prime factors to calculate the LCM of 46686 and 46701.

LCM(46686,46701) = 2¹ × 3² × 31¹ × 251¹ × 5189¹
LCM(46686,46701) = 726760962