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What is the Least Common Multiple of 16485 and 16498?

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 16485 and 16498 is 271969530.

LCM(16485,16498) = 271969530

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Least Common Multiple of 16485 and 16498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16485 and 16498, than apply into the LCM equation.

GCF(16485,16498) = 1
LCM(16485,16498) = ( 16485 × 16498) / 1
LCM(16485,16498) = 271969530 / 1
LCM(16485,16498) = 271969530

Least Common Multiple (LCM) of 16485 and 16498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16485 and 16498. First we will calculate the prime factors of 16485 and 16498.

Prime Factorization of 16485

Prime factors of 16485 are 3, 5, 7, 157. Prime factorization of 16485 in exponential form is:

16485 = 31 × 51 × 71 × 1571

Prime Factorization of 16498

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

16498 = 21 × 731 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 16485 and 16498.

LCM(16485,16498) = 31 × 51 × 71 × 1571 × 21 × 731 × 1131
LCM(16485,16498) = 271969530