What is the Least Common Multiple of 46500 and 46518?

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 46500 and 46518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46500 and 46518, than apply into the LCM equation.

GCF(46500,46518) = 6
LCM(46500,46518) = ( 46500 × 46518) / 6
LCM(46500,46518) = 2163087000 / 6
LCM(46500,46518) = 360514500

Least Common Multiple (LCM) of 46500 and 46518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46500 and 46518. First we will calculate the prime factors of 46500 and 46518.

Prime Factorization of 46500

Prime Factorization of 46518

Now multiplying the highest exponent prime factors to calculate the LCM of 46500 and 46518.

LCM(46500,46518) = 2² × 3¹ × 5³ × 31¹ × 7753¹
LCM(46500,46518) = 360514500