What is the Least Common Multiple of 46250 and 46264?

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 46250 and 46264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46250 and 46264, than apply into the LCM equation.

GCF(46250,46264) = 2
LCM(46250,46264) = ( 46250 × 46264) / 2
LCM(46250,46264) = 2139710000 / 2
LCM(46250,46264) = 1069855000

Least Common Multiple (LCM) of 46250 and 46264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46250 and 46264. First we will calculate the prime factors of 46250 and 46264.

Prime Factorization of 46250

Prime Factorization of 46264

Now multiplying the highest exponent prime factors to calculate the LCM of 46250 and 46264.

LCM(46250,46264) = 2³ × 5⁴ × 37¹ × 5783¹
LCM(46250,46264) = 1069855000