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What is the Least Common Multiple of 92771 and 92782?

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 92771 and 92782 is 8607478922.

LCM(92771,92782) = 8607478922

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Least Common Multiple of 92771 and 92782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92771 and 92782, than apply into the LCM equation.

GCF(92771,92782) = 1
LCM(92771,92782) = ( 92771 × 92782) / 1
LCM(92771,92782) = 8607478922 / 1
LCM(92771,92782) = 8607478922

Least Common Multiple (LCM) of 92771 and 92782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92771 and 92782. First we will calculate the prime factors of 92771 and 92782.

Prime Factorization of 92771

Prime factors of 92771 are 7, 29, 457. Prime factorization of 92771 in exponential form is:

92771 = 71 × 291 × 4571

Prime Factorization of 92782

Prime factors of 92782 are 2, 23, 2017. Prime factorization of 92782 in exponential form is:

92782 = 21 × 231 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 92771 and 92782.

LCM(92771,92782) = 71 × 291 × 4571 × 21 × 231 × 20171
LCM(92771,92782) = 8607478922