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What is the Least Common Multiple of 16567 and 16582?

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 16582 is 274713994.

LCM(16567,16582) = 274713994

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Least Common Multiple of 16567 and 16582 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 16582, than apply into the LCM equation.

GCF(16567,16582) = 1
LCM(16567,16582) = ( 16567 × 16582) / 1
LCM(16567,16582) = 274713994 / 1
LCM(16567,16582) = 274713994

Least Common Multiple (LCM) of 16567 and 16582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16567 and 16582. First we will calculate the prime factors of 16567 and 16582.

Prime Factorization of 16567

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

16567 = 165671

Prime Factorization of 16582

Prime factors of 16582 are 2, 8291. Prime factorization of 16582 in exponential form is:

16582 = 21 × 82911

Now multiplying the highest exponent prime factors to calculate the LCM of 16567 and 16582.

LCM(16567,16582) = 165671 × 21 × 82911
LCM(16567,16582) = 274713994