What is the Least Common Multiple of 46339 and 46357?

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 46339 and 46357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46339 and 46357, than apply into the LCM equation.

GCF(46339,46357) = 1
LCM(46339,46357) = ( 46339 × 46357) / 1
LCM(46339,46357) = 2148137023 / 1
LCM(46339,46357) = 2148137023

Least Common Multiple (LCM) of 46339 and 46357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46339 and 46357. First we will calculate the prime factors of 46339 and 46357.

Prime Factorization of 46339

Prime Factorization of 46357

Now multiplying the highest exponent prime factors to calculate the LCM of 46339 and 46357.

LCM(46339,46357) = 149¹ × 311¹ × 151¹ × 307¹
LCM(46339,46357) = 2148137023