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What is the Least Common Multiple of 16567 and 16584?

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 16567 and 16584 is 274747128.

LCM(16567,16584) = 274747128

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Least Common Multiple of 16567 and 16584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16567 and 16584, than apply into the LCM equation.

GCF(16567,16584) = 1
LCM(16567,16584) = ( 16567 × 16584) / 1
LCM(16567,16584) = 274747128 / 1
LCM(16567,16584) = 274747128

Least Common Multiple (LCM) of 16567 and 16584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16567 and 16584. First we will calculate the prime factors of 16567 and 16584.

Prime Factorization of 16567

Prime factors of 16567 are 16567. Prime factorization of 16567 in exponential form is:

16567 = 165671

Prime Factorization of 16584

Prime factors of 16584 are 2, 3, 691. Prime factorization of 16584 in exponential form is:

16584 = 23 × 31 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 16567 and 16584.

LCM(16567,16584) = 165671 × 23 × 31 × 6911
LCM(16567,16584) = 274747128