What is the Least Common Multiple of 17180 and 17198?

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 17180 and 17198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17180 and 17198, than apply into the LCM equation.

GCF(17180,17198) = 2
LCM(17180,17198) = ( 17180 × 17198) / 2
LCM(17180,17198) = 295461640 / 2
LCM(17180,17198) = 147730820

Least Common Multiple (LCM) of 17180 and 17198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17180 and 17198. First we will calculate the prime factors of 17180 and 17198.

Prime Factorization of 17180

Prime Factorization of 17198

Now multiplying the highest exponent prime factors to calculate the LCM of 17180 and 17198.

LCM(17180,17198) = 2² × 5¹ × 859¹ × 8599¹
LCM(17180,17198) = 147730820