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What is the Least Common Multiple of 8510 and 8522?

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 8522 is 36261110.

LCM(8510,8522) = 36261110

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Least Common Multiple of 8510 and 8522 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 8522, than apply into the LCM equation.

GCF(8510,8522) = 2
LCM(8510,8522) = ( 8510 × 8522) / 2
LCM(8510,8522) = 72522220 / 2
LCM(8510,8522) = 36261110

Least Common Multiple (LCM) of 8510 and 8522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8522. First we will calculate the prime factors of 8510 and 8522.

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 8522

Prime factors of 8522 are 2, 4261. Prime factorization of 8522 in exponential form is:

8522 = 21 × 42611

Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8522.

LCM(8510,8522) = 21 × 51 × 231 × 371 × 42611
LCM(8510,8522) = 36261110