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What is the Least Common Multiple of 92851 and 92855?

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 92851 and 92855 is 8621679605.

LCM(92851,92855) = 8621679605

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Least Common Multiple of 92851 and 92855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92851 and 92855, than apply into the LCM equation.

GCF(92851,92855) = 1
LCM(92851,92855) = ( 92851 × 92855) / 1
LCM(92851,92855) = 8621679605 / 1
LCM(92851,92855) = 8621679605

Least Common Multiple (LCM) of 92851 and 92855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92851 and 92855. First we will calculate the prime factors of 92851 and 92855.

Prime Factorization of 92851

Prime factors of 92851 are 11, 23, 367. Prime factorization of 92851 in exponential form is:

92851 = 111 × 231 × 3671

Prime Factorization of 92855

Prime factors of 92855 are 5, 7, 379. Prime factorization of 92855 in exponential form is:

92855 = 51 × 72 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 92851 and 92855.

LCM(92851,92855) = 111 × 231 × 3671 × 51 × 72 × 3791
LCM(92851,92855) = 8621679605