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What is the Least Common Multiple of 56256 and 56270?

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 56256 and 56270 is 1582762560.

LCM(56256,56270) = 1582762560

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Least Common Multiple of 56256 and 56270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56256 and 56270, than apply into the LCM equation.

GCF(56256,56270) = 2
LCM(56256,56270) = ( 56256 × 56270) / 2
LCM(56256,56270) = 3165525120 / 2
LCM(56256,56270) = 1582762560

Least Common Multiple (LCM) of 56256 and 56270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56256 and 56270. First we will calculate the prime factors of 56256 and 56270.

Prime Factorization of 56256

Prime factors of 56256 are 2, 3, 293. Prime factorization of 56256 in exponential form is:

56256 = 26 × 31 × 2931

Prime Factorization of 56270

Prime factors of 56270 are 2, 5, 17, 331. Prime factorization of 56270 in exponential form is:

56270 = 21 × 51 × 171 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 56256 and 56270.

LCM(56256,56270) = 26 × 31 × 2931 × 51 × 171 × 3311
LCM(56256,56270) = 1582762560