What is the Least Common Multiple of 46455 and 46460?

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 46455 and 46460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46455 and 46460, than apply into the LCM equation.

GCF(46455,46460) = 5
LCM(46455,46460) = ( 46455 × 46460) / 5
LCM(46455,46460) = 2158299300 / 5
LCM(46455,46460) = 431659860

Least Common Multiple (LCM) of 46455 and 46460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46455 and 46460. First we will calculate the prime factors of 46455 and 46460.

Prime Factorization of 46455

Prime Factorization of 46460

Now multiplying the highest exponent prime factors to calculate the LCM of 46455 and 46460.

LCM(46455,46460) = 3¹ × 5¹ × 19¹ × 163¹ × 2² × 23¹ × 101¹
LCM(46455,46460) = 431659860