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What is the Least Common Multiple of 56415 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 56415 and 56422 is 3183047130.

LCM(56415,56422) = 3183047130

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Least Common Multiple of 56415 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 56415 and 56422, than apply into the LCM equation.

GCF(56415,56422) = 1
LCM(56415,56422) = ( 56415 × 56422) / 1
LCM(56415,56422) = 3183047130 / 1
LCM(56415,56422) = 3183047130

Least Common Multiple (LCM) of 56415 and 56422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56415 and 56422. First we will calculate the prime factors of 56415 and 56422.

Prime Factorization of 56415

Prime factors of 56415 are 3, 5, 3761. Prime factorization of 56415 in exponential form is:

56415 = 31 × 51 × 37611

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 56415 and 56422.

LCM(56415,56422) = 31 × 51 × 37611 × 21 × 282111
LCM(56415,56422) = 3183047130