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What is the Least Common Multiple of 83911 and 83927?

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 83911 and 83927 is 7042398497.

LCM(83911,83927) = 7042398497

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Least Common Multiple of 83911 and 83927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83911 and 83927, than apply into the LCM equation.

GCF(83911,83927) = 1
LCM(83911,83927) = ( 83911 × 83927) / 1
LCM(83911,83927) = 7042398497 / 1
LCM(83911,83927) = 7042398497

Least Common Multiple (LCM) of 83911 and 83927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83911 and 83927. First we will calculate the prime factors of 83911 and 83927.

Prime Factorization of 83911

Prime factors of 83911 are 83911. Prime factorization of 83911 in exponential form is:

83911 = 839111

Prime Factorization of 83927

Prime factors of 83927 are 23, 41, 89. Prime factorization of 83927 in exponential form is:

83927 = 231 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 83911 and 83927.

LCM(83911,83927) = 839111 × 231 × 411 × 891
LCM(83911,83927) = 7042398497