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What is the Least Common Multiple of 16533 and 16539?

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 16533 and 16539 is 91146429.

LCM(16533,16539) = 91146429

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Least Common Multiple of 16533 and 16539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16533 and 16539, than apply into the LCM equation.

GCF(16533,16539) = 3
LCM(16533,16539) = ( 16533 × 16539) / 3
LCM(16533,16539) = 273439287 / 3
LCM(16533,16539) = 91146429

Least Common Multiple (LCM) of 16533 and 16539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16533 and 16539. First we will calculate the prime factors of 16533 and 16539.

Prime Factorization of 16533

Prime factors of 16533 are 3, 11, 167. Prime factorization of 16533 in exponential form is:

16533 = 32 × 111 × 1671

Prime Factorization of 16539

Prime factors of 16539 are 3, 37, 149. Prime factorization of 16539 in exponential form is:

16539 = 31 × 371 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 16533 and 16539.

LCM(16533,16539) = 32 × 111 × 1671 × 371 × 1491
LCM(16533,16539) = 91146429