What is the Least Common Multiple of 17088 and 17094?

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 17088 and 17094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17088 and 17094, than apply into the LCM equation.

GCF(17088,17094) = 6
LCM(17088,17094) = ( 17088 × 17094) / 6
LCM(17088,17094) = 292102272 / 6
LCM(17088,17094) = 48683712

Least Common Multiple (LCM) of 17088 and 17094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17088 and 17094. First we will calculate the prime factors of 17088 and 17094.

Prime Factorization of 17088

Prime Factorization of 17094

Now multiplying the highest exponent prime factors to calculate the LCM of 17088 and 17094.

LCM(17088,17094) = 2⁶ × 3¹ × 89¹ × 7¹ × 11¹ × 37¹
LCM(17088,17094) = 48683712