What is the Least Common Multiple of 46281 and 46293?

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 46281 and 46293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46281 and 46293, than apply into the LCM equation.

GCF(46281,46293) = 3
LCM(46281,46293) = ( 46281 × 46293) / 3
LCM(46281,46293) = 2142486333 / 3
LCM(46281,46293) = 714162111

Least Common Multiple (LCM) of 46281 and 46293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46281 and 46293. First we will calculate the prime factors of 46281 and 46293.

Prime Factorization of 46281

Prime Factorization of 46293

Now multiplying the highest exponent prime factors to calculate the LCM of 46281 and 46293.

LCM(46281,46293) = 3¹ × 15427¹ × 13¹ × 1187¹
LCM(46281,46293) = 714162111