What is the Least Common Multiple of 17808 and 17822?

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 17808 and 17822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17808 and 17822, than apply into the LCM equation.

GCF(17808,17822) = 14
LCM(17808,17822) = ( 17808 × 17822) / 14
LCM(17808,17822) = 317374176 / 14
LCM(17808,17822) = 22669584

Least Common Multiple (LCM) of 17808 and 17822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17808 and 17822. First we will calculate the prime factors of 17808 and 17822.

Prime Factorization of 17808

Prime Factorization of 17822

Now multiplying the highest exponent prime factors to calculate the LCM of 17808 and 17822.

LCM(17808,17822) = 2⁴ × 3¹ × 7¹ × 53¹ × 19¹ × 67¹
LCM(17808,17822) = 22669584