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What is the Least Common Multiple of 5417 and 5430?

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 5417 and 5430 is 29414310.

LCM(5417,5430) = 29414310

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Least Common Multiple of 5417 and 5430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5417 and 5430, than apply into the LCM equation.

GCF(5417,5430) = 1
LCM(5417,5430) = ( 5417 × 5430) / 1
LCM(5417,5430) = 29414310 / 1
LCM(5417,5430) = 29414310

Least Common Multiple (LCM) of 5417 and 5430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5417 and 5430. First we will calculate the prime factors of 5417 and 5430.

Prime Factorization of 5417

Prime factors of 5417 are 5417. Prime factorization of 5417 in exponential form is:

5417 = 54171

Prime Factorization of 5430

Prime factors of 5430 are 2, 3, 5, 181. Prime factorization of 5430 in exponential form is:

5430 = 21 × 31 × 51 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5417 and 5430.

LCM(5417,5430) = 54171 × 21 × 31 × 51 × 1811
LCM(5417,5430) = 29414310