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What is the Least Common Multiple of 8507 and 8516?

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 8507 and 8516 is 72445612.

LCM(8507,8516) = 72445612

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Least Common Multiple of 8507 and 8516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8507 and 8516, than apply into the LCM equation.

GCF(8507,8516) = 1
LCM(8507,8516) = ( 8507 × 8516) / 1
LCM(8507,8516) = 72445612 / 1
LCM(8507,8516) = 72445612

Least Common Multiple (LCM) of 8507 and 8516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8507 and 8516. First we will calculate the prime factors of 8507 and 8516.

Prime Factorization of 8507

Prime factors of 8507 are 47, 181. Prime factorization of 8507 in exponential form is:

8507 = 471 × 1811

Prime Factorization of 8516

Prime factors of 8516 are 2, 2129. Prime factorization of 8516 in exponential form is:

8516 = 22 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 8507 and 8516.

LCM(8507,8516) = 471 × 1811 × 22 × 21291
LCM(8507,8516) = 72445612