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What is the Least Common Multiple of 91911 and 91918?

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 91911 and 91918 is 8448275298.

LCM(91911,91918) = 8448275298

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Least Common Multiple of 91911 and 91918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91911 and 91918, than apply into the LCM equation.

GCF(91911,91918) = 1
LCM(91911,91918) = ( 91911 × 91918) / 1
LCM(91911,91918) = 8448275298 / 1
LCM(91911,91918) = 8448275298

Least Common Multiple (LCM) of 91911 and 91918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91911 and 91918. First we will calculate the prime factors of 91911 and 91918.

Prime Factorization of 91911

Prime factors of 91911 are 3, 30637. Prime factorization of 91911 in exponential form is:

91911 = 31 × 306371

Prime Factorization of 91918

Prime factors of 91918 are 2, 45959. Prime factorization of 91918 in exponential form is:

91918 = 21 × 459591

Now multiplying the highest exponent prime factors to calculate the LCM of 91911 and 91918.

LCM(91911,91918) = 31 × 306371 × 21 × 459591
LCM(91911,91918) = 8448275298