What is the Least Common Multiple of 46342 and 46359?

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 46342 and 46359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46342 and 46359, than apply into the LCM equation.

GCF(46342,46359) = 17
LCM(46342,46359) = ( 46342 × 46359) / 17
LCM(46342,46359) = 2148368778 / 17
LCM(46342,46359) = 126374634

Least Common Multiple (LCM) of 46342 and 46359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46342 and 46359. First we will calculate the prime factors of 46342 and 46359.

Prime Factorization of 46342

Prime Factorization of 46359

Now multiplying the highest exponent prime factors to calculate the LCM of 46342 and 46359.

LCM(46342,46359) = 2¹ × 17¹ × 29¹ × 47¹ × 3³ × 101¹
LCM(46342,46359) = 126374634