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What is the Least Common Multiple of 8510 and 8520?

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 8510 and 8520 is 7250520.

LCM(8510,8520) = 7250520

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Least Common Multiple of 8510 and 8520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8510 and 8520, than apply into the LCM equation.

GCF(8510,8520) = 10
LCM(8510,8520) = ( 8510 × 8520) / 10
LCM(8510,8520) = 72505200 / 10
LCM(8510,8520) = 7250520

Least Common Multiple (LCM) of 8510 and 8520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8520. First we will calculate the prime factors of 8510 and 8520.

Prime Factorization of 8510

Prime factors of 8510 are 2, 5, 23, 37. Prime factorization of 8510 in exponential form is:

8510 = 21 × 51 × 231 × 371

Prime Factorization of 8520

Prime factors of 8520 are 2, 3, 5, 71. Prime factorization of 8520 in exponential form is:

8520 = 23 × 31 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8520.

LCM(8510,8520) = 23 × 51 × 231 × 371 × 31 × 711
LCM(8510,8520) = 7250520