What is the Least Common Multiple of 46617 and 46629?

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 46617 and 46629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46617 and 46629, than apply into the LCM equation.

GCF(46617,46629) = 3
LCM(46617,46629) = ( 46617 × 46629) / 3
LCM(46617,46629) = 2173704093 / 3
LCM(46617,46629) = 724568031

Least Common Multiple (LCM) of 46617 and 46629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46617 and 46629. First we will calculate the prime factors of 46617 and 46629.

Prime Factorization of 46617

Prime Factorization of 46629

Now multiplying the highest exponent prime factors to calculate the LCM of 46617 and 46629.

LCM(46617,46629) = 3³ × 41¹ × 379¹ × 11¹ × 157¹
LCM(46617,46629) = 724568031