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What is the Least Common Multiple of 56418 and 56422?

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 56418 and 56422 is 1591608198.

LCM(56418,56422) = 1591608198

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Least Common Multiple of 56418 and 56422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56418 and 56422, than apply into the LCM equation.

GCF(56418,56422) = 2
LCM(56418,56422) = ( 56418 × 56422) / 2
LCM(56418,56422) = 3183216396 / 2
LCM(56418,56422) = 1591608198

Least Common Multiple (LCM) of 56418 and 56422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56418 and 56422. First we will calculate the prime factors of 56418 and 56422.

Prime Factorization of 56418

Prime factors of 56418 are 2, 3, 9403. Prime factorization of 56418 in exponential form is:

56418 = 21 × 31 × 94031

Prime Factorization of 56422

Prime factors of 56422 are 2, 28211. Prime factorization of 56422 in exponential form is:

56422 = 21 × 282111

Now multiplying the highest exponent prime factors to calculate the LCM of 56418 and 56422.

LCM(56418,56422) = 21 × 31 × 94031 × 282111
LCM(56418,56422) = 1591608198