What is the Least Common Multiple of 17114 and 17128?

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 17114 and 17128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17114 and 17128, than apply into the LCM equation.

GCF(17114,17128) = 2
LCM(17114,17128) = ( 17114 × 17128) / 2
LCM(17114,17128) = 293128592 / 2
LCM(17114,17128) = 146564296

Least Common Multiple (LCM) of 17114 and 17128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17114 and 17128. First we will calculate the prime factors of 17114 and 17128.

Prime Factorization of 17114

Prime Factorization of 17128

Now multiplying the highest exponent prime factors to calculate the LCM of 17114 and 17128.

LCM(17114,17128) = 2³ × 43¹ × 199¹ × 2141¹
LCM(17114,17128) = 146564296