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What is the Least Common Multiple of 16528 and 16538?

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 16528 and 16538 is 136670032.

LCM(16528,16538) = 136670032

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Least Common Multiple of 16528 and 16538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16528 and 16538, than apply into the LCM equation.

GCF(16528,16538) = 2
LCM(16528,16538) = ( 16528 × 16538) / 2
LCM(16528,16538) = 273340064 / 2
LCM(16528,16538) = 136670032

Least Common Multiple (LCM) of 16528 and 16538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16528 and 16538. First we will calculate the prime factors of 16528 and 16538.

Prime Factorization of 16528

Prime factors of 16528 are 2, 1033. Prime factorization of 16528 in exponential form is:

16528 = 24 × 10331

Prime Factorization of 16538

Prime factors of 16538 are 2, 8269. Prime factorization of 16538 in exponential form is:

16538 = 21 × 82691

Now multiplying the highest exponent prime factors to calculate the LCM of 16528 and 16538.

LCM(16528,16538) = 24 × 10331 × 82691
LCM(16528,16538) = 136670032