What is the Least Common Multiple of 46143 and 46160?

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 46143 and 46160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46143 and 46160, than apply into the LCM equation.

GCF(46143,46160) = 1
LCM(46143,46160) = ( 46143 × 46160) / 1
LCM(46143,46160) = 2129960880 / 1
LCM(46143,46160) = 2129960880

Least Common Multiple (LCM) of 46143 and 46160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46143 and 46160. First we will calculate the prime factors of 46143 and 46160.

Prime Factorization of 46143

Prime Factorization of 46160

Now multiplying the highest exponent prime factors to calculate the LCM of 46143 and 46160.

LCM(46143,46160) = 3³ × 1709¹ × 2⁴ × 5¹ × 577¹
LCM(46143,46160) = 2129960880