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What is the Least Common Multiple of 17222 and 17237?

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 17222 and 17237 is 296855614.

LCM(17222,17237) = 296855614

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Least Common Multiple of 17222 and 17237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17222 and 17237, than apply into the LCM equation.

GCF(17222,17237) = 1
LCM(17222,17237) = ( 17222 × 17237) / 1
LCM(17222,17237) = 296855614 / 1
LCM(17222,17237) = 296855614

Least Common Multiple (LCM) of 17222 and 17237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17222 and 17237. First we will calculate the prime factors of 17222 and 17237.

Prime Factorization of 17222

Prime factors of 17222 are 2, 79, 109. Prime factorization of 17222 in exponential form is:

17222 = 21 × 791 × 1091

Prime Factorization of 17237

Prime factors of 17237 are 11, 1567. Prime factorization of 17237 in exponential form is:

17237 = 111 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 17222 and 17237.

LCM(17222,17237) = 21 × 791 × 1091 × 111 × 15671
LCM(17222,17237) = 296855614