What is the Least Common Multiple of 46512 and 46517?

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 46512 and 46517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46512 and 46517, than apply into the LCM equation.

GCF(46512,46517) = 1
LCM(46512,46517) = ( 46512 × 46517) / 1
LCM(46512,46517) = 2163598704 / 1
LCM(46512,46517) = 2163598704

Least Common Multiple (LCM) of 46512 and 46517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46512 and 46517. First we will calculate the prime factors of 46512 and 46517.

Prime Factorization of 46512

Prime Factorization of 46517

Now multiplying the highest exponent prime factors to calculate the LCM of 46512 and 46517.

LCM(46512,46517) = 2⁴ × 3² × 17¹ × 19¹ × 181¹ × 257¹
LCM(46512,46517) = 2163598704