What is the Least Common Multiple of 46457 and 46468?

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 46457 and 46468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46457 and 46468, than apply into the LCM equation.

GCF(46457,46468) = 1
LCM(46457,46468) = ( 46457 × 46468) / 1
LCM(46457,46468) = 2158763876 / 1
LCM(46457,46468) = 2158763876

Least Common Multiple (LCM) of 46457 and 46468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46457 and 46468. First we will calculate the prime factors of 46457 and 46468.

Prime Factorization of 46457

Prime Factorization of 46468

Now multiplying the highest exponent prime factors to calculate the LCM of 46457 and 46468.

LCM(46457,46468) = 46457¹ × 2² × 11617¹
LCM(46457,46468) = 2158763876