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What is the Least Common Multiple of 91901 and 91909?

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 91901 and 91909 is 8446529009.

LCM(91901,91909) = 8446529009

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Least Common Multiple of 91901 and 91909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91901 and 91909, than apply into the LCM equation.

GCF(91901,91909) = 1
LCM(91901,91909) = ( 91901 × 91909) / 1
LCM(91901,91909) = 8446529009 / 1
LCM(91901,91909) = 8446529009

Least Common Multiple (LCM) of 91901 and 91909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91901 and 91909. First we will calculate the prime factors of 91901 and 91909.

Prime Factorization of 91901

Prime factors of 91901 are 29, 3169. Prime factorization of 91901 in exponential form is:

91901 = 291 × 31691

Prime Factorization of 91909

Prime factors of 91909 are 91909. Prime factorization of 91909 in exponential form is:

91909 = 919091

Now multiplying the highest exponent prime factors to calculate the LCM of 91901 and 91909.

LCM(91901,91909) = 291 × 31691 × 919091
LCM(91901,91909) = 8446529009