What is the Least Common Multiple of 17178 and 17185?

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 17178 and 17185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17178 and 17185, than apply into the LCM equation.

GCF(17178,17185) = 7
LCM(17178,17185) = ( 17178 × 17185) / 7
LCM(17178,17185) = 295203930 / 7
LCM(17178,17185) = 42171990

Least Common Multiple (LCM) of 17178 and 17185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17178 and 17185. First we will calculate the prime factors of 17178 and 17185.

Prime Factorization of 17178

Prime Factorization of 17185

Now multiplying the highest exponent prime factors to calculate the LCM of 17178 and 17185.

LCM(17178,17185) = 2¹ × 3¹ × 7¹ × 409¹ × 5¹ × 491¹
LCM(17178,17185) = 42171990