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What is the Least Common Multiple of 92136 and 92143?

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 92136 and 92143 is 8489687448.

LCM(92136,92143) = 8489687448

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Least Common Multiple of 92136 and 92143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92136 and 92143, than apply into the LCM equation.

GCF(92136,92143) = 1
LCM(92136,92143) = ( 92136 × 92143) / 1
LCM(92136,92143) = 8489687448 / 1
LCM(92136,92143) = 8489687448

Least Common Multiple (LCM) of 92136 and 92143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92136 and 92143. First we will calculate the prime factors of 92136 and 92143.

Prime Factorization of 92136

Prime factors of 92136 are 2, 3, 11, 349. Prime factorization of 92136 in exponential form is:

92136 = 23 × 31 × 111 × 3491

Prime Factorization of 92143

Prime factors of 92143 are 92143. Prime factorization of 92143 in exponential form is:

92143 = 921431

Now multiplying the highest exponent prime factors to calculate the LCM of 92136 and 92143.

LCM(92136,92143) = 23 × 31 × 111 × 3491 × 921431
LCM(92136,92143) = 8489687448