What is the Least Common Multiple of 46468 and 46486?

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 46468 and 46486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46468 and 46486, than apply into the LCM equation.

GCF(46468,46486) = 2
LCM(46468,46486) = ( 46468 × 46486) / 2
LCM(46468,46486) = 2160111448 / 2
LCM(46468,46486) = 1080055724

Least Common Multiple (LCM) of 46468 and 46486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46468 and 46486. First we will calculate the prime factors of 46468 and 46486.

Prime Factorization of 46468

Prime Factorization of 46486

Now multiplying the highest exponent prime factors to calculate the LCM of 46468 and 46486.

LCM(46468,46486) = 2² × 11617¹ × 11¹ × 2113¹
LCM(46468,46486) = 1080055724