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What is the Least Common Multiple of 8510 and 8528?

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 8528 is 36286640.

LCM(8510,8528) = 36286640

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Least Common Multiple of 8510 and 8528 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 8528, than apply into the LCM equation.

GCF(8510,8528) = 2
LCM(8510,8528) = ( 8510 × 8528) / 2
LCM(8510,8528) = 72573280 / 2
LCM(8510,8528) = 36286640

Least Common Multiple (LCM) of 8510 and 8528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8528. First we will calculate the prime factors of 8510 and 8528.

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 8528

Prime factors of 8528 are 2, 13, 41. Prime factorization of 8528 in exponential form is:

8528 = 24 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8528.

LCM(8510,8528) = 24 × 51 × 231 × 371 × 131 × 411
LCM(8510,8528) = 36286640