What is the Least Common Multiple of 46473 and 46487?

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 46473 and 46487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46473 and 46487, than apply into the LCM equation.

GCF(46473,46487) = 7
LCM(46473,46487) = ( 46473 × 46487) / 7
LCM(46473,46487) = 2160390351 / 7
LCM(46473,46487) = 308627193

Least Common Multiple (LCM) of 46473 and 46487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46473 and 46487. First we will calculate the prime factors of 46473 and 46487.

Prime Factorization of 46473

Prime Factorization of 46487

Now multiplying the highest exponent prime factors to calculate the LCM of 46473 and 46487.

LCM(46473,46487) = 3¹ × 7¹ × 2213¹ × 29¹ × 229¹
LCM(46473,46487) = 308627193