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What is the Least Common Multiple of 8865 and 8879?

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 8865 and 8879 is 78712335.

LCM(8865,8879) = 78712335

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Least Common Multiple of 8865 and 8879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8865 and 8879, than apply into the LCM equation.

GCF(8865,8879) = 1
LCM(8865,8879) = ( 8865 × 8879) / 1
LCM(8865,8879) = 78712335 / 1
LCM(8865,8879) = 78712335

Least Common Multiple (LCM) of 8865 and 8879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8865 and 8879. First we will calculate the prime factors of 8865 and 8879.

Prime Factorization of 8865

Prime factors of 8865 are 3, 5, 197. Prime factorization of 8865 in exponential form is:

8865 = 32 × 51 × 1971

Prime Factorization of 8879

Prime factors of 8879 are 13, 683. Prime factorization of 8879 in exponential form is:

8879 = 131 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 8865 and 8879.

LCM(8865,8879) = 32 × 51 × 1971 × 131 × 6831
LCM(8865,8879) = 78712335