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What is the Least Common Multiple of 30635 and 30640?

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 30635 and 30640 is 187731280.

LCM(30635,30640) = 187731280

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Least Common Multiple of 30635 and 30640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30635 and 30640, than apply into the LCM equation.

GCF(30635,30640) = 5
LCM(30635,30640) = ( 30635 × 30640) / 5
LCM(30635,30640) = 938656400 / 5
LCM(30635,30640) = 187731280

Least Common Multiple (LCM) of 30635 and 30640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30635 and 30640. First we will calculate the prime factors of 30635 and 30640.

Prime Factorization of 30635

Prime factors of 30635 are 5, 11, 557. Prime factorization of 30635 in exponential form is:

30635 = 51 × 111 × 5571

Prime Factorization of 30640

Prime factors of 30640 are 2, 5, 383. Prime factorization of 30640 in exponential form is:

30640 = 24 × 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 30635 and 30640.

LCM(30635,30640) = 51 × 111 × 5571 × 24 × 3831
LCM(30635,30640) = 187731280