What is the Least Common Multiple of 46230 and 46250?

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 46230 and 46250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46230 and 46250, than apply into the LCM equation.

GCF(46230,46250) = 10
LCM(46230,46250) = ( 46230 × 46250) / 10
LCM(46230,46250) = 2138137500 / 10
LCM(46230,46250) = 213813750

Least Common Multiple (LCM) of 46230 and 46250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46230 and 46250. First we will calculate the prime factors of 46230 and 46250.

Prime Factorization of 46230

Prime Factorization of 46250

Now multiplying the highest exponent prime factors to calculate the LCM of 46230 and 46250.

LCM(46230,46250) = 2¹ × 3¹ × 5⁴ × 23¹ × 67¹ × 37¹
LCM(46230,46250) = 213813750