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What is the Least Common Multiple of 92429 and 92436?

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 92429 and 92436 is 8543767044.

LCM(92429,92436) = 8543767044

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Least Common Multiple of 92429 and 92436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92429 and 92436, than apply into the LCM equation.

GCF(92429,92436) = 1
LCM(92429,92436) = ( 92429 × 92436) / 1
LCM(92429,92436) = 8543767044 / 1
LCM(92429,92436) = 8543767044

Least Common Multiple (LCM) of 92429 and 92436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92429 and 92436. First we will calculate the prime factors of 92429 and 92436.

Prime Factorization of 92429

Prime factors of 92429 are 17, 5437. Prime factorization of 92429 in exponential form is:

92429 = 171 × 54371

Prime Factorization of 92436

Prime factors of 92436 are 2, 3, 7703. Prime factorization of 92436 in exponential form is:

92436 = 22 × 31 × 77031

Now multiplying the highest exponent prime factors to calculate the LCM of 92429 and 92436.

LCM(92429,92436) = 171 × 54371 × 22 × 31 × 77031
LCM(92429,92436) = 8543767044