What is the Least Common Multiple of 46624 and 46642?

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 46624 and 46642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46624 and 46642, than apply into the LCM equation.

GCF(46624,46642) = 2
LCM(46624,46642) = ( 46624 × 46642) / 2
LCM(46624,46642) = 2174636608 / 2
LCM(46624,46642) = 1087318304

Least Common Multiple (LCM) of 46624 and 46642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46624 and 46642. First we will calculate the prime factors of 46624 and 46642.

Prime Factorization of 46624

Prime Factorization of 46642

Now multiplying the highest exponent prime factors to calculate the LCM of 46624 and 46642.

LCM(46624,46642) = 2⁵ × 31¹ × 47¹ × 23321¹
LCM(46624,46642) = 1087318304