What is the Least Common Multiple of 46506 and 46521?

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 46506 and 46521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46506 and 46521, than apply into the LCM equation.

GCF(46506,46521) = 3
LCM(46506,46521) = ( 46506 × 46521) / 3
LCM(46506,46521) = 2163505626 / 3
LCM(46506,46521) = 721168542

Least Common Multiple (LCM) of 46506 and 46521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46506 and 46521. First we will calculate the prime factors of 46506 and 46521.

Prime Factorization of 46506

Prime Factorization of 46521

Now multiplying the highest exponent prime factors to calculate the LCM of 46506 and 46521.

LCM(46506,46521) = 2¹ × 3³ × 23¹ × 337¹ × 1723¹
LCM(46506,46521) = 721168542