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What is the Least Common Multiple of 8864 and 8870?

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 8864 and 8870 is 39311840.

LCM(8864,8870) = 39311840

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Least Common Multiple of 8864 and 8870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8864 and 8870, than apply into the LCM equation.

GCF(8864,8870) = 2
LCM(8864,8870) = ( 8864 × 8870) / 2
LCM(8864,8870) = 78623680 / 2
LCM(8864,8870) = 39311840

Least Common Multiple (LCM) of 8864 and 8870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8864 and 8870. First we will calculate the prime factors of 8864 and 8870.

Prime Factorization of 8864

Prime factors of 8864 are 2, 277. Prime factorization of 8864 in exponential form is:

8864 = 25 × 2771

Prime Factorization of 8870

Prime factors of 8870 are 2, 5, 887. Prime factorization of 8870 in exponential form is:

8870 = 21 × 51 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 8864 and 8870.

LCM(8864,8870) = 25 × 2771 × 51 × 8871
LCM(8864,8870) = 39311840