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What is the Least Common Multiple of 92862 and 92873?

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 92862 and 92873 is 784033866.

LCM(92862,92873) = 784033866

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Least Common Multiple of 92862 and 92873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92862 and 92873, than apply into the LCM equation.

GCF(92862,92873) = 11
LCM(92862,92873) = ( 92862 × 92873) / 11
LCM(92862,92873) = 8624372526 / 11
LCM(92862,92873) = 784033866

Least Common Multiple (LCM) of 92862 and 92873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92862 and 92873. First we will calculate the prime factors of 92862 and 92873.

Prime Factorization of 92862

Prime factors of 92862 are 2, 3, 7, 11, 67. Prime factorization of 92862 in exponential form is:

92862 = 21 × 32 × 71 × 111 × 671

Prime Factorization of 92873

Prime factors of 92873 are 11, 8443. Prime factorization of 92873 in exponential form is:

92873 = 111 × 84431

Now multiplying the highest exponent prime factors to calculate the LCM of 92862 and 92873.

LCM(92862,92873) = 21 × 32 × 71 × 111 × 671 × 84431
LCM(92862,92873) = 784033866