GCF and LCM Calculator Logo

What is the Least Common Multiple of 17802 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 (LCM) of 17802 and 17822 is 158633622.

LCM(17802,17822) = 158633622

LCM Calculator and
and

Least Common Multiple of 17802 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 17802 and 17822, than apply into the LCM equation.

GCF(17802,17822) = 2
LCM(17802,17822) = ( 17802 × 17822) / 2
LCM(17802,17822) = 317267244 / 2
LCM(17802,17822) = 158633622

Least Common Multiple (LCM) of 17802 and 17822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17802 and 17822. First we will calculate the prime factors of 17802 and 17822.

Prime Factorization of 17802

Prime factors of 17802 are 2, 3, 23, 43. Prime factorization of 17802 in exponential form is:

17802 = 21 × 32 × 231 × 431

Prime Factorization of 17822

Prime factors of 17822 are 2, 7, 19, 67. Prime factorization of 17822 in exponential form is:

17822 = 21 × 71 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 17802 and 17822.

LCM(17802,17822) = 21 × 32 × 231 × 431 × 71 × 191 × 671
LCM(17802,17822) = 158633622