What is the Least Common Multiple of 46512 and 46531?

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 46531 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 46531, than apply into the LCM equation.

GCF(46512,46531) = 19
LCM(46512,46531) = ( 46512 × 46531) / 19
LCM(46512,46531) = 2164249872 / 19
LCM(46512,46531) = 113907888

Least Common Multiple (LCM) of 46512 and 46531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46512 and 46531. First we will calculate the prime factors of 46512 and 46531.

Prime Factorization of 46512

Prime Factorization of 46531

Now multiplying the highest exponent prime factors to calculate the LCM of 46512 and 46531.

LCM(46512,46531) = 2⁴ × 3² × 17¹ × 19¹ × 31¹ × 79¹
LCM(46512,46531) = 113907888