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What is the Least Common Multiple of 94867 and 94874?

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 94867 and 94874 is 9000411758.

LCM(94867,94874) = 9000411758

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Least Common Multiple of 94867 and 94874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94867 and 94874, than apply into the LCM equation.

GCF(94867,94874) = 1
LCM(94867,94874) = ( 94867 × 94874) / 1
LCM(94867,94874) = 9000411758 / 1
LCM(94867,94874) = 9000411758

Least Common Multiple (LCM) of 94867 and 94874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94867 and 94874. First we will calculate the prime factors of 94867 and 94874.

Prime Factorization of 94867

Prime factors of 94867 are 19, 4993. Prime factorization of 94867 in exponential form is:

94867 = 191 × 49931

Prime Factorization of 94874

Prime factors of 94874 are 2, 13, 41, 89. Prime factorization of 94874 in exponential form is:

94874 = 21 × 131 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 94867 and 94874.

LCM(94867,94874) = 191 × 49931 × 21 × 131 × 411 × 891
LCM(94867,94874) = 9000411758