What is the Least Common Multiple of 46625 and 46639?

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 46625 and 46639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46625 and 46639, than apply into the LCM equation.

GCF(46625,46639) = 1
LCM(46625,46639) = ( 46625 × 46639) / 1
LCM(46625,46639) = 2174543375 / 1
LCM(46625,46639) = 2174543375

Least Common Multiple (LCM) of 46625 and 46639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46625 and 46639. First we will calculate the prime factors of 46625 and 46639.

Prime Factorization of 46625

Prime Factorization of 46639

Now multiplying the highest exponent prime factors to calculate the LCM of 46625 and 46639.

LCM(46625,46639) = 5³ × 373¹ × 46639¹
LCM(46625,46639) = 2174543375