What is the Least Common Multiple of 46585 and 46591?

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 46585 and 46591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46585 and 46591, than apply into the LCM equation.

GCF(46585,46591) = 1
LCM(46585,46591) = ( 46585 × 46591) / 1
LCM(46585,46591) = 2170441735 / 1
LCM(46585,46591) = 2170441735

Least Common Multiple (LCM) of 46585 and 46591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46585 and 46591. First we will calculate the prime factors of 46585 and 46591.

Prime Factorization of 46585

Prime Factorization of 46591

Now multiplying the highest exponent prime factors to calculate the LCM of 46585 and 46591.

LCM(46585,46591) = 5¹ × 7¹ × 11³ × 46591¹
LCM(46585,46591) = 2170441735