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What is the Least Common Multiple of 92855 and 92874?

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 92855 and 92874 is 8623815270.

LCM(92855,92874) = 8623815270

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Least Common Multiple of 92855 and 92874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92855 and 92874, than apply into the LCM equation.

GCF(92855,92874) = 1
LCM(92855,92874) = ( 92855 × 92874) / 1
LCM(92855,92874) = 8623815270 / 1
LCM(92855,92874) = 8623815270

Least Common Multiple (LCM) of 92855 and 92874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92855 and 92874. First we will calculate the prime factors of 92855 and 92874.

Prime Factorization of 92855

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

92855 = 51 × 72 × 3791

Prime Factorization of 92874

Prime factors of 92874 are 2, 3, 23, 673. Prime factorization of 92874 in exponential form is:

92874 = 21 × 31 × 231 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 92855 and 92874.

LCM(92855,92874) = 51 × 72 × 3791 × 21 × 31 × 231 × 6731
LCM(92855,92874) = 8623815270