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What is the Least Common Multiple of 30470 and 30487?

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 30470 and 30487 is 928938890.

LCM(30470,30487) = 928938890

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Least Common Multiple of 30470 and 30487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30470 and 30487, than apply into the LCM equation.

GCF(30470,30487) = 1
LCM(30470,30487) = ( 30470 × 30487) / 1
LCM(30470,30487) = 928938890 / 1
LCM(30470,30487) = 928938890

Least Common Multiple (LCM) of 30470 and 30487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30470 and 30487. First we will calculate the prime factors of 30470 and 30487.

Prime Factorization of 30470

Prime factors of 30470 are 2, 5, 11, 277. Prime factorization of 30470 in exponential form is:

30470 = 21 × 51 × 111 × 2771

Prime Factorization of 30487

Prime factors of 30487 are 43, 709. Prime factorization of 30487 in exponential form is:

30487 = 431 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 30470 and 30487.

LCM(30470,30487) = 21 × 51 × 111 × 2771 × 431 × 7091
LCM(30470,30487) = 928938890