What is the Least Common Multiple of 46460 and 46477?

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 46460 and 46477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46460 and 46477, than apply into the LCM equation.

GCF(46460,46477) = 1
LCM(46460,46477) = ( 46460 × 46477) / 1
LCM(46460,46477) = 2159321420 / 1
LCM(46460,46477) = 2159321420

Least Common Multiple (LCM) of 46460 and 46477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46460 and 46477. First we will calculate the prime factors of 46460 and 46477.

Prime Factorization of 46460

Prime Factorization of 46477

Now multiplying the highest exponent prime factors to calculate the LCM of 46460 and 46477.

LCM(46460,46477) = 2² × 5¹ × 23¹ × 101¹ × 46477¹
LCM(46460,46477) = 2159321420