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What is the Least Common Multiple of 8601 and 8610?

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 8601 and 8610 is 24684870.

LCM(8601,8610) = 24684870

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Least Common Multiple of 8601 and 8610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8601 and 8610, than apply into the LCM equation.

GCF(8601,8610) = 3
LCM(8601,8610) = ( 8601 × 8610) / 3
LCM(8601,8610) = 74054610 / 3
LCM(8601,8610) = 24684870

Least Common Multiple (LCM) of 8601 and 8610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8601 and 8610. First we will calculate the prime factors of 8601 and 8610.

Prime Factorization of 8601

Prime factors of 8601 are 3, 47, 61. Prime factorization of 8601 in exponential form is:

8601 = 31 × 471 × 611

Prime Factorization of 8610

Prime factors of 8610 are 2, 3, 5, 7, 41. Prime factorization of 8610 in exponential form is:

8610 = 21 × 31 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8601 and 8610.

LCM(8601,8610) = 31 × 471 × 611 × 21 × 51 × 71 × 411
LCM(8601,8610) = 24684870