What is the Least Common Multiple of 46648 and 46664?

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 46648 and 46664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46648 and 46664, than apply into the LCM equation.

GCF(46648,46664) = 8
LCM(46648,46664) = ( 46648 × 46664) / 8
LCM(46648,46664) = 2176782272 / 8
LCM(46648,46664) = 272097784

Least Common Multiple (LCM) of 46648 and 46664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46648 and 46664. First we will calculate the prime factors of 46648 and 46664.

Prime Factorization of 46648

Prime Factorization of 46664

Now multiplying the highest exponent prime factors to calculate the LCM of 46648 and 46664.

LCM(46648,46664) = 2³ × 7³ × 17¹ × 19¹ × 307¹
LCM(46648,46664) = 272097784