What is the Least Common Multiple of 46523 and 46538?

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 46523 and 46538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46523 and 46538, than apply into the LCM equation.

GCF(46523,46538) = 1
LCM(46523,46538) = ( 46523 × 46538) / 1
LCM(46523,46538) = 2165087374 / 1
LCM(46523,46538) = 2165087374

Least Common Multiple (LCM) of 46523 and 46538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46523 and 46538. First we will calculate the prime factors of 46523 and 46538.

Prime Factorization of 46523

Prime Factorization of 46538

Now multiplying the highest exponent prime factors to calculate the LCM of 46523 and 46538.

LCM(46523,46538) = 46523¹ × 2¹ × 23269¹
LCM(46523,46538) = 2165087374