What is the Least Common Multiple of 17078 and 17096?

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 17078 and 17096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17078 and 17096, than apply into the LCM equation.

GCF(17078,17096) = 2
LCM(17078,17096) = ( 17078 × 17096) / 2
LCM(17078,17096) = 291965488 / 2
LCM(17078,17096) = 145982744

Least Common Multiple (LCM) of 17078 and 17096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17078 and 17096. First we will calculate the prime factors of 17078 and 17096.

Prime Factorization of 17078

Prime Factorization of 17096

Now multiplying the highest exponent prime factors to calculate the LCM of 17078 and 17096.

LCM(17078,17096) = 2³ × 8539¹ × 2137¹
LCM(17078,17096) = 145982744