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What is the Least Common Multiple of 30418 and 30429?

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 30418 and 30429 is 925589322.

LCM(30418,30429) = 925589322

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Least Common Multiple of 30418 and 30429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30418 and 30429, than apply into the LCM equation.

GCF(30418,30429) = 1
LCM(30418,30429) = ( 30418 × 30429) / 1
LCM(30418,30429) = 925589322 / 1
LCM(30418,30429) = 925589322

Least Common Multiple (LCM) of 30418 and 30429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30418 and 30429. First we will calculate the prime factors of 30418 and 30429.

Prime Factorization of 30418

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

30418 = 21 × 671 × 2271

Prime Factorization of 30429

Prime factors of 30429 are 3, 7, 23. Prime factorization of 30429 in exponential form is:

30429 = 33 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 30418 and 30429.

LCM(30418,30429) = 21 × 671 × 2271 × 33 × 72 × 231
LCM(30418,30429) = 925589322