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What is the Least Common Multiple of 4504 and 4516?

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 4504 and 4516 is 5085016.

LCM(4504,4516) = 5085016

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Least Common Multiple of 4504 and 4516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4504 and 4516, than apply into the LCM equation.

GCF(4504,4516) = 4
LCM(4504,4516) = ( 4504 × 4516) / 4
LCM(4504,4516) = 20340064 / 4
LCM(4504,4516) = 5085016

Least Common Multiple (LCM) of 4504 and 4516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4504 and 4516. First we will calculate the prime factors of 4504 and 4516.

Prime Factorization of 4504

Prime factors of 4504 are 2, 563. Prime factorization of 4504 in exponential form is:

4504 = 23 × 5631

Prime Factorization of 4516

Prime factors of 4516 are 2, 1129. Prime factorization of 4516 in exponential form is:

4516 = 22 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 4504 and 4516.

LCM(4504,4516) = 23 × 5631 × 11291
LCM(4504,4516) = 5085016