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What is the Least Common Multiple of 30538 and 30549?

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 30538 and 30549 is 932905362.

LCM(30538,30549) = 932905362

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Least Common Multiple of 30538 and 30549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30538 and 30549, than apply into the LCM equation.

GCF(30538,30549) = 1
LCM(30538,30549) = ( 30538 × 30549) / 1
LCM(30538,30549) = 932905362 / 1
LCM(30538,30549) = 932905362

Least Common Multiple (LCM) of 30538 and 30549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30538 and 30549. First we will calculate the prime factors of 30538 and 30549.

Prime Factorization of 30538

Prime factors of 30538 are 2, 15269. Prime factorization of 30538 in exponential form is:

30538 = 21 × 152691

Prime Factorization of 30549

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

30549 = 31 × 171 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 30538 and 30549.

LCM(30538,30549) = 21 × 152691 × 31 × 171 × 5991
LCM(30538,30549) = 932905362