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What is the Least Common Multiple of 8568 and 8580?

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 8568 and 8580 is 6126120.

LCM(8568,8580) = 6126120

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Least Common Multiple of 8568 and 8580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8568 and 8580, than apply into the LCM equation.

GCF(8568,8580) = 12
LCM(8568,8580) = ( 8568 × 8580) / 12
LCM(8568,8580) = 73513440 / 12
LCM(8568,8580) = 6126120

Least Common Multiple (LCM) of 8568 and 8580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8568 and 8580. First we will calculate the prime factors of 8568 and 8580.

Prime Factorization of 8568

Prime factors of 8568 are 2, 3, 7, 17. Prime factorization of 8568 in exponential form is:

8568 = 23 × 32 × 71 × 171

Prime Factorization of 8580

Prime factors of 8580 are 2, 3, 5, 11, 13. Prime factorization of 8580 in exponential form is:

8580 = 22 × 31 × 51 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 8568 and 8580.

LCM(8568,8580) = 23 × 32 × 71 × 171 × 51 × 111 × 131
LCM(8568,8580) = 6126120