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What is the Least Common Multiple of 86267 and 86277?

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 86267 and 86277 is 7442857959.

LCM(86267,86277) = 7442857959

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Least Common Multiple of 86267 and 86277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86267 and 86277, than apply into the LCM equation.

GCF(86267,86277) = 1
LCM(86267,86277) = ( 86267 × 86277) / 1
LCM(86267,86277) = 7442857959 / 1
LCM(86267,86277) = 7442857959

Least Common Multiple (LCM) of 86267 and 86277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86267 and 86277. First we will calculate the prime factors of 86267 and 86277.

Prime Factorization of 86267

Prime factors of 86267 are 281, 307. Prime factorization of 86267 in exponential form is:

86267 = 2811 × 3071

Prime Factorization of 86277

Prime factors of 86277 are 3, 28759. Prime factorization of 86277 in exponential form is:

86277 = 31 × 287591

Now multiplying the highest exponent prime factors to calculate the LCM of 86267 and 86277.

LCM(86267,86277) = 2811 × 3071 × 31 × 287591
LCM(86267,86277) = 7442857959