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What is the Least Common Multiple of 30549 and 30559?

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 30549 and 30559 is 933546891.

LCM(30549,30559) = 933546891

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Least Common Multiple of 30549 and 30559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30549 and 30559, than apply into the LCM equation.

GCF(30549,30559) = 1
LCM(30549,30559) = ( 30549 × 30559) / 1
LCM(30549,30559) = 933546891 / 1
LCM(30549,30559) = 933546891

Least Common Multiple (LCM) of 30549 and 30559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30549 and 30559. First we will calculate the prime factors of 30549 and 30559.

Prime Factorization of 30549

Prime factors of 30549 are 3, 17, 599. Prime factorization of 30549 in exponential form is:

30549 = 31 × 171 × 5991

Prime Factorization of 30559

Prime factors of 30559 are 30559. Prime factorization of 30559 in exponential form is:

30559 = 305591

Now multiplying the highest exponent prime factors to calculate the LCM of 30549 and 30559.

LCM(30549,30559) = 31 × 171 × 5991 × 305591
LCM(30549,30559) = 933546891