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What is the Least Common Multiple of 92869 and 92885?

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 92869 and 92885 is 8626137065.

LCM(92869,92885) = 8626137065

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Least Common Multiple of 92869 and 92885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92869 and 92885, than apply into the LCM equation.

GCF(92869,92885) = 1
LCM(92869,92885) = ( 92869 × 92885) / 1
LCM(92869,92885) = 8626137065 / 1
LCM(92869,92885) = 8626137065

Least Common Multiple (LCM) of 92869 and 92885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92869 and 92885. First we will calculate the prime factors of 92869 and 92885.

Prime Factorization of 92869

Prime factors of 92869 are 7, 13267. Prime factorization of 92869 in exponential form is:

92869 = 71 × 132671

Prime Factorization of 92885

Prime factors of 92885 are 5, 13, 1429. Prime factorization of 92885 in exponential form is:

92885 = 51 × 131 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 92869 and 92885.

LCM(92869,92885) = 71 × 132671 × 51 × 131 × 14291
LCM(92869,92885) = 8626137065