What is the Least Common Multiple of 17656 and 17667?

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 17656 and 17667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17656 and 17667, than apply into the LCM equation.

GCF(17656,17667) = 1
LCM(17656,17667) = ( 17656 × 17667) / 1
LCM(17656,17667) = 311928552 / 1
LCM(17656,17667) = 311928552

Least Common Multiple (LCM) of 17656 and 17667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17656 and 17667. First we will calculate the prime factors of 17656 and 17667.

Prime Factorization of 17656

Prime Factorization of 17667

Now multiplying the highest exponent prime factors to calculate the LCM of 17656 and 17667.

LCM(17656,17667) = 2³ × 2207¹ × 3² × 13¹ × 151¹
LCM(17656,17667) = 311928552