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What is the Least Common Multiple of 56270 and 56276?

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 56270 and 56276 is 1583325260.

LCM(56270,56276) = 1583325260

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Least Common Multiple of 56270 and 56276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56270 and 56276, than apply into the LCM equation.

GCF(56270,56276) = 2
LCM(56270,56276) = ( 56270 × 56276) / 2
LCM(56270,56276) = 3166650520 / 2
LCM(56270,56276) = 1583325260

Least Common Multiple (LCM) of 56270 and 56276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56270 and 56276. First we will calculate the prime factors of 56270 and 56276.

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

Prime Factorization of 56276

Prime factors of 56276 are 2, 11, 1279. Prime factorization of 56276 in exponential form is:

56276 = 22 × 111 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 56270 and 56276.

LCM(56270,56276) = 22 × 51 × 171 × 3311 × 111 × 12791
LCM(56270,56276) = 1583325260