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What is the Least Common Multiple of 8498 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 8498 and 8516 is 36184484.

LCM(8498,8516) = 36184484

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Least Common Multiple of 8498 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 8498 and 8516, than apply into the LCM equation.

GCF(8498,8516) = 2
LCM(8498,8516) = ( 8498 × 8516) / 2
LCM(8498,8516) = 72368968 / 2
LCM(8498,8516) = 36184484

Least Common Multiple (LCM) of 8498 and 8516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8498 and 8516. First we will calculate the prime factors of 8498 and 8516.

Prime Factorization of 8498

Prime factors of 8498 are 2, 7, 607. Prime factorization of 8498 in exponential form is:

8498 = 21 × 71 × 6071

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 8498 and 8516.

LCM(8498,8516) = 22 × 71 × 6071 × 21291
LCM(8498,8516) = 36184484