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What is the Least Common Multiple of 22498 and 22517?

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 22498 and 22517 is 506587466.

LCM(22498,22517) = 506587466

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Least Common Multiple of 22498 and 22517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22498 and 22517, than apply into the LCM equation.

GCF(22498,22517) = 1
LCM(22498,22517) = ( 22498 × 22517) / 1
LCM(22498,22517) = 506587466 / 1
LCM(22498,22517) = 506587466

Least Common Multiple (LCM) of 22498 and 22517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22498 and 22517. First we will calculate the prime factors of 22498 and 22517.

Prime Factorization of 22498

Prime factors of 22498 are 2, 7, 1607. Prime factorization of 22498 in exponential form is:

22498 = 21 × 71 × 16071

Prime Factorization of 22517

Prime factors of 22517 are 11, 23, 89. Prime factorization of 22517 in exponential form is:

22517 = 111 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 22498 and 22517.

LCM(22498,22517) = 21 × 71 × 16071 × 111 × 231 × 891
LCM(22498,22517) = 506587466