What is the Least Common Multiple of 46640 and 46650?

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 46640 and 46650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46640 and 46650, than apply into the LCM equation.

GCF(46640,46650) = 10
LCM(46640,46650) = ( 46640 × 46650) / 10
LCM(46640,46650) = 2175756000 / 10
LCM(46640,46650) = 217575600

Least Common Multiple (LCM) of 46640 and 46650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46640 and 46650. First we will calculate the prime factors of 46640 and 46650.

Prime Factorization of 46640

Prime Factorization of 46650

Now multiplying the highest exponent prime factors to calculate the LCM of 46640 and 46650.

LCM(46640,46650) = 2⁴ × 5² × 11¹ × 53¹ × 3¹ × 311¹
LCM(46640,46650) = 217575600