What is the Least Common Multiple of 18140 and 18157?

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 18140 and 18157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18140 and 18157, than apply into the LCM equation.

GCF(18140,18157) = 1
LCM(18140,18157) = ( 18140 × 18157) / 1
LCM(18140,18157) = 329367980 / 1
LCM(18140,18157) = 329367980

Least Common Multiple (LCM) of 18140 and 18157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18140 and 18157. First we will calculate the prime factors of 18140 and 18157.

Prime Factorization of 18140

Prime Factorization of 18157

Now multiplying the highest exponent prime factors to calculate the LCM of 18140 and 18157.

LCM(18140,18157) = 2² × 5¹ × 907¹ × 67¹ × 271¹
LCM(18140,18157) = 329367980