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What is the Least Common Multiple of 8670 and 8676?

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 8670 and 8676 is 12536820.

LCM(8670,8676) = 12536820

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Least Common Multiple of 8670 and 8676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8670 and 8676, than apply into the LCM equation.

GCF(8670,8676) = 6
LCM(8670,8676) = ( 8670 × 8676) / 6
LCM(8670,8676) = 75220920 / 6
LCM(8670,8676) = 12536820

Least Common Multiple (LCM) of 8670 and 8676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8670 and 8676. First we will calculate the prime factors of 8670 and 8676.

Prime Factorization of 8670

Prime factors of 8670 are 2, 3, 5, 17. Prime factorization of 8670 in exponential form is:

8670 = 21 × 31 × 51 × 172

Prime Factorization of 8676

Prime factors of 8676 are 2, 3, 241. Prime factorization of 8676 in exponential form is:

8676 = 22 × 32 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 8670 and 8676.

LCM(8670,8676) = 22 × 32 × 51 × 172 × 2411
LCM(8670,8676) = 12536820