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What is the Least Common Multiple of 16498 and 16508?

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 16498 and 16508 is 136174492.

LCM(16498,16508) = 136174492

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Least Common Multiple of 16498 and 16508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16498 and 16508, than apply into the LCM equation.

GCF(16498,16508) = 2
LCM(16498,16508) = ( 16498 × 16508) / 2
LCM(16498,16508) = 272348984 / 2
LCM(16498,16508) = 136174492

Least Common Multiple (LCM) of 16498 and 16508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16498 and 16508. First we will calculate the prime factors of 16498 and 16508.

Prime Factorization of 16498

Prime factors of 16498 are 2, 73, 113. Prime factorization of 16498 in exponential form is:

16498 = 21 × 731 × 1131

Prime Factorization of 16508

Prime factors of 16508 are 2, 4127. Prime factorization of 16508 in exponential form is:

16508 = 22 × 41271

Now multiplying the highest exponent prime factors to calculate the LCM of 16498 and 16508.

LCM(16498,16508) = 22 × 731 × 1131 × 41271
LCM(16498,16508) = 136174492