What is the Least Common Multiple of 46073 and 46087?

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 46073 and 46087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46073 and 46087, than apply into the LCM equation.

GCF(46073,46087) = 1
LCM(46073,46087) = ( 46073 × 46087) / 1
LCM(46073,46087) = 2123366351 / 1
LCM(46073,46087) = 2123366351

Least Common Multiple (LCM) of 46073 and 46087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46073 and 46087. First we will calculate the prime factors of 46073 and 46087.

Prime Factorization of 46073

Prime Factorization of 46087

Now multiplying the highest exponent prime factors to calculate the LCM of 46073 and 46087.

LCM(46073,46087) = 46073¹ × 17¹ × 2711¹
LCM(46073,46087) = 2123366351