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What is the Least Common Multiple of 91865 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 91865 and 91882 is 8440739930.

LCM(91865,91882) = 8440739930

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Least Common Multiple of 91865 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 91865 and 91882, than apply into the LCM equation.

GCF(91865,91882) = 1
LCM(91865,91882) = ( 91865 × 91882) / 1
LCM(91865,91882) = 8440739930 / 1
LCM(91865,91882) = 8440739930

Least Common Multiple (LCM) of 91865 and 91882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91865 and 91882. First we will calculate the prime factors of 91865 and 91882.

Prime Factorization of 91865

Prime factors of 91865 are 5, 19, 967. Prime factorization of 91865 in exponential form is:

91865 = 51 × 191 × 9671

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 91865 and 91882.

LCM(91865,91882) = 51 × 191 × 9671 × 21 × 71 × 65631
LCM(91865,91882) = 8440739930