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What is the Least Common Multiple of 87267 and 87277?

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 87267 and 87277 is 7616401959.

LCM(87267,87277) = 7616401959

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Least Common Multiple of 87267 and 87277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87267 and 87277, than apply into the LCM equation.

GCF(87267,87277) = 1
LCM(87267,87277) = ( 87267 × 87277) / 1
LCM(87267,87277) = 7616401959 / 1
LCM(87267,87277) = 7616401959

Least Common Multiple (LCM) of 87267 and 87277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87267 and 87277. First we will calculate the prime factors of 87267 and 87277.

Prime Factorization of 87267

Prime factors of 87267 are 3, 19, 1531. Prime factorization of 87267 in exponential form is:

87267 = 31 × 191 × 15311

Prime Factorization of 87277

Prime factors of 87277 are 87277. Prime factorization of 87277 in exponential form is:

87277 = 872771

Now multiplying the highest exponent prime factors to calculate the LCM of 87267 and 87277.

LCM(87267,87277) = 31 × 191 × 15311 × 872771
LCM(87267,87277) = 7616401959