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What is the Least Common Multiple of 92859 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 92859 and 92874 is 2874728922.

LCM(92859,92874) = 2874728922

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Least Common Multiple of 92859 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 92859 and 92874, than apply into the LCM equation.

GCF(92859,92874) = 3
LCM(92859,92874) = ( 92859 × 92874) / 3
LCM(92859,92874) = 8624186766 / 3
LCM(92859,92874) = 2874728922

Least Common Multiple (LCM) of 92859 and 92874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92859 and 92874. First we will calculate the prime factors of 92859 and 92874.

Prime Factorization of 92859

Prime factors of 92859 are 3, 13, 2381. Prime factorization of 92859 in exponential form is:

92859 = 31 × 131 × 23811

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 92859 and 92874.

LCM(92859,92874) = 31 × 131 × 23811 × 21 × 231 × 6731
LCM(92859,92874) = 2874728922