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What is the Least Common Multiple of 91863 and 91882?

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 91863 and 91882 is 8440556166.

LCM(91863,91882) = 8440556166

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Least Common Multiple of 91863 and 91882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91863 and 91882, than apply into the LCM equation.

GCF(91863,91882) = 1
LCM(91863,91882) = ( 91863 × 91882) / 1
LCM(91863,91882) = 8440556166 / 1
LCM(91863,91882) = 8440556166

Least Common Multiple (LCM) of 91863 and 91882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91863 and 91882. First we will calculate the prime factors of 91863 and 91882.

Prime Factorization of 91863

Prime factors of 91863 are 3, 59, 173. Prime factorization of 91863 in exponential form is:

91863 = 32 × 591 × 1731

Prime Factorization of 91882

Prime factors of 91882 are 2, 7, 6563. Prime factorization of 91882 in exponential form is:

91882 = 21 × 71 × 65631

Now multiplying the highest exponent prime factors to calculate the LCM of 91863 and 91882.

LCM(91863,91882) = 32 × 591 × 1731 × 21 × 71 × 65631
LCM(91863,91882) = 8440556166