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What is the Least Common Multiple of 9097 and 9109?

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 9097 and 9109 is 82864573.

LCM(9097,9109) = 82864573

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Least Common Multiple of 9097 and 9109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9097 and 9109, than apply into the LCM equation.

GCF(9097,9109) = 1
LCM(9097,9109) = ( 9097 × 9109) / 1
LCM(9097,9109) = 82864573 / 1
LCM(9097,9109) = 82864573

Least Common Multiple (LCM) of 9097 and 9109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9097 and 9109. First we will calculate the prime factors of 9097 and 9109.

Prime Factorization of 9097

Prime factors of 9097 are 11, 827. Prime factorization of 9097 in exponential form is:

9097 = 111 × 8271

Prime Factorization of 9109

Prime factors of 9109 are 9109. Prime factorization of 9109 in exponential form is:

9109 = 91091

Now multiplying the highest exponent prime factors to calculate the LCM of 9097 and 9109.

LCM(9097,9109) = 111 × 8271 × 91091
LCM(9097,9109) = 82864573