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What is the Least Common Multiple of 8509 and 8521?

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 8509 and 8521 is 72505189.

LCM(8509,8521) = 72505189

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Least Common Multiple of 8509 and 8521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8509 and 8521, than apply into the LCM equation.

GCF(8509,8521) = 1
LCM(8509,8521) = ( 8509 × 8521) / 1
LCM(8509,8521) = 72505189 / 1
LCM(8509,8521) = 72505189

Least Common Multiple (LCM) of 8509 and 8521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8509 and 8521. First we will calculate the prime factors of 8509 and 8521.

Prime Factorization of 8509

Prime factors of 8509 are 67, 127. Prime factorization of 8509 in exponential form is:

8509 = 671 × 1271

Prime Factorization of 8521

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 85211

Now multiplying the highest exponent prime factors to calculate the LCM of 8509 and 8521.

LCM(8509,8521) = 671 × 1271 × 85211
LCM(8509,8521) = 72505189