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What is the Least Common Multiple of 17651 and 17667?

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 17651 and 17667 is 311840217.

LCM(17651,17667) = 311840217

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Least Common Multiple of 17651 and 17667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17651 and 17667, than apply into the LCM equation.

GCF(17651,17667) = 1
LCM(17651,17667) = ( 17651 × 17667) / 1
LCM(17651,17667) = 311840217 / 1
LCM(17651,17667) = 311840217

Least Common Multiple (LCM) of 17651 and 17667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17651 and 17667. First we will calculate the prime factors of 17651 and 17667.

Prime Factorization of 17651

Prime factors of 17651 are 19, 929. Prime factorization of 17651 in exponential form is:

17651 = 191 × 9291

Prime Factorization of 17667

Prime factors of 17667 are 3, 13, 151. Prime factorization of 17667 in exponential form is:

17667 = 32 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 17651 and 17667.

LCM(17651,17667) = 191 × 9291 × 32 × 131 × 1511
LCM(17651,17667) = 311840217