What is the Least Common Multiple of 46629 and 46635?

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 46629 and 46635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46629 and 46635, than apply into the LCM equation.

GCF(46629,46635) = 3
LCM(46629,46635) = ( 46629 × 46635) / 3
LCM(46629,46635) = 2174543415 / 3
LCM(46629,46635) = 724847805

Least Common Multiple (LCM) of 46629 and 46635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46629 and 46635. First we will calculate the prime factors of 46629 and 46635.

Prime Factorization of 46629

Prime Factorization of 46635

Now multiplying the highest exponent prime factors to calculate the LCM of 46629 and 46635.

LCM(46629,46635) = 3³ × 11¹ × 157¹ × 5¹ × 3109¹
LCM(46629,46635) = 724847805