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What is the Least Common Multiple of 30413 and 30418?

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 30413 and 30418 is 925102634.

LCM(30413,30418) = 925102634

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Least Common Multiple of 30413 and 30418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30413 and 30418, than apply into the LCM equation.

GCF(30413,30418) = 1
LCM(30413,30418) = ( 30413 × 30418) / 1
LCM(30413,30418) = 925102634 / 1
LCM(30413,30418) = 925102634

Least Common Multiple (LCM) of 30413 and 30418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30413 and 30418. First we will calculate the prime factors of 30413 and 30418.

Prime Factorization of 30413

Prime factors of 30413 are 17, 1789. Prime factorization of 30413 in exponential form is:

30413 = 171 × 17891

Prime Factorization of 30418

Prime factors of 30418 are 2, 67, 227. Prime factorization of 30418 in exponential form is:

30418 = 21 × 671 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 30413 and 30418.

LCM(30413,30418) = 171 × 17891 × 21 × 671 × 2271
LCM(30413,30418) = 925102634