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What is the Least Common Multiple of 17802 and 17816?

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 17816 is 158580216.

LCM(17802,17816) = 158580216

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Least Common Multiple of 17802 and 17816 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 17816, than apply into the LCM equation.

GCF(17802,17816) = 2
LCM(17802,17816) = ( 17802 × 17816) / 2
LCM(17802,17816) = 317160432 / 2
LCM(17802,17816) = 158580216

Least Common Multiple (LCM) of 17802 and 17816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17802 and 17816. First we will calculate the prime factors of 17802 and 17816.

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 17816

Prime factors of 17816 are 2, 17, 131. Prime factorization of 17816 in exponential form is:

17816 = 23 × 171 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 17802 and 17816.

LCM(17802,17816) = 23 × 32 × 231 × 431 × 171 × 1311
LCM(17802,17816) = 158580216