What is the Least Common Multiple of 17154 and 17161?

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 17154 and 17161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17154 and 17161, than apply into the LCM equation.

GCF(17154,17161) = 1
LCM(17154,17161) = ( 17154 × 17161) / 1
LCM(17154,17161) = 294379794 / 1
LCM(17154,17161) = 294379794

Least Common Multiple (LCM) of 17154 and 17161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17154 and 17161. First we will calculate the prime factors of 17154 and 17161.

Prime Factorization of 17154

Prime Factorization of 17161

Now multiplying the highest exponent prime factors to calculate the LCM of 17154 and 17161.

LCM(17154,17161) = 2¹ × 3² × 953¹ × 131²
LCM(17154,17161) = 294379794