What is the Least Common Multiple of 17144 and 17151?

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 17144 and 17151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17144 and 17151, than apply into the LCM equation.

GCF(17144,17151) = 1
LCM(17144,17151) = ( 17144 × 17151) / 1
LCM(17144,17151) = 294036744 / 1
LCM(17144,17151) = 294036744

Least Common Multiple (LCM) of 17144 and 17151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17144 and 17151. First we will calculate the prime factors of 17144 and 17151.

Prime Factorization of 17144

Prime Factorization of 17151

Now multiplying the highest exponent prime factors to calculate the LCM of 17144 and 17151.

LCM(17144,17151) = 2³ × 2143¹ × 3¹ × 5717¹
LCM(17144,17151) = 294036744