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What is the Least Common Multiple of 17091 and 17109?

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 17091 and 17109 is 32489991.

LCM(17091,17109) = 32489991

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Least Common Multiple of 17091 and 17109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17091 and 17109, than apply into the LCM equation.

GCF(17091,17109) = 9
LCM(17091,17109) = ( 17091 × 17109) / 9
LCM(17091,17109) = 292409919 / 9
LCM(17091,17109) = 32489991

Least Common Multiple (LCM) of 17091 and 17109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17091 and 17109. First we will calculate the prime factors of 17091 and 17109.

Prime Factorization of 17091

Prime factors of 17091 are 3, 211. Prime factorization of 17091 in exponential form is:

17091 = 34 × 2111

Prime Factorization of 17109

Prime factors of 17109 are 3, 1901. Prime factorization of 17109 in exponential form is:

17109 = 32 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 17091 and 17109.

LCM(17091,17109) = 34 × 2111 × 19011
LCM(17091,17109) = 32489991