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What is the Least Common Multiple of 92862 and 92867?

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 92867 is 8623815354.

LCM(92862,92867) = 8623815354

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Least Common Multiple of 92862 and 92867 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 92867, than apply into the LCM equation.

GCF(92862,92867) = 1
LCM(92862,92867) = ( 92862 × 92867) / 1
LCM(92862,92867) = 8623815354 / 1
LCM(92862,92867) = 8623815354

Least Common Multiple (LCM) of 92862 and 92867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92862 and 92867. First we will calculate the prime factors of 92862 and 92867.

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 92867

Prime factors of 92867 are 92867. Prime factorization of 92867 in exponential form is:

92867 = 928671

Now multiplying the highest exponent prime factors to calculate the LCM of 92862 and 92867.

LCM(92862,92867) = 21 × 32 × 71 × 111 × 671 × 928671
LCM(92862,92867) = 8623815354