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What is the Least Common Multiple of 16498 and 16506?

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 16506 is 136157994.

LCM(16498,16506) = 136157994

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Least Common Multiple of 16498 and 16506 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 16506, than apply into the LCM equation.

GCF(16498,16506) = 2
LCM(16498,16506) = ( 16498 × 16506) / 2
LCM(16498,16506) = 272315988 / 2
LCM(16498,16506) = 136157994

Least Common Multiple (LCM) of 16498 and 16506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16498 and 16506. First we will calculate the prime factors of 16498 and 16506.

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 16506

Prime factors of 16506 are 2, 3, 7, 131. Prime factorization of 16506 in exponential form is:

16506 = 21 × 32 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 16498 and 16506.

LCM(16498,16506) = 21 × 731 × 1131 × 32 × 71 × 1311
LCM(16498,16506) = 136157994