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What is the Least Common Multiple of 94097 and 94109?

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 94097 and 94109 is 8855374573.

LCM(94097,94109) = 8855374573

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Least Common Multiple of 94097 and 94109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94097 and 94109, than apply into the LCM equation.

GCF(94097,94109) = 1
LCM(94097,94109) = ( 94097 × 94109) / 1
LCM(94097,94109) = 8855374573 / 1
LCM(94097,94109) = 8855374573

Least Common Multiple (LCM) of 94097 and 94109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94097 and 94109. First we will calculate the prime factors of 94097 and 94109.

Prime Factorization of 94097

Prime factors of 94097 are 73, 1289. Prime factorization of 94097 in exponential form is:

94097 = 731 × 12891

Prime Factorization of 94109

Prime factors of 94109 are 94109. Prime factorization of 94109 in exponential form is:

94109 = 941091

Now multiplying the highest exponent prime factors to calculate the LCM of 94097 and 94109.

LCM(94097,94109) = 731 × 12891 × 941091
LCM(94097,94109) = 8855374573