What is the Least Common Multiple of 46635 and 46641?

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 46635 and 46641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46635 and 46641, than apply into the LCM equation.

GCF(46635,46641) = 3
LCM(46635,46641) = ( 46635 × 46641) / 3
LCM(46635,46641) = 2175103035 / 3
LCM(46635,46641) = 725034345

Least Common Multiple (LCM) of 46635 and 46641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46635 and 46641. First we will calculate the prime factors of 46635 and 46641.

Prime Factorization of 46635

Prime Factorization of 46641

Now multiplying the highest exponent prime factors to calculate the LCM of 46635 and 46641.

LCM(46635,46641) = 3¹ × 5¹ × 3109¹ × 7¹ × 2221¹
LCM(46635,46641) = 725034345