What is the Least Common Multiple of 17140 and 17157?

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 17140 and 17157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17140 and 17157, than apply into the LCM equation.

GCF(17140,17157) = 1
LCM(17140,17157) = ( 17140 × 17157) / 1
LCM(17140,17157) = 294070980 / 1
LCM(17140,17157) = 294070980

Least Common Multiple (LCM) of 17140 and 17157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17140 and 17157. First we will calculate the prime factors of 17140 and 17157.

Prime Factorization of 17140

Prime Factorization of 17157

Now multiplying the highest exponent prime factors to calculate the LCM of 17140 and 17157.

LCM(17140,17157) = 2² × 5¹ × 857¹ × 3¹ × 7¹ × 19¹ × 43¹
LCM(17140,17157) = 294070980