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What is the Least Common Multiple of 57278 and 57289?

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 57278 and 57289 is 3281399342.

LCM(57278,57289) = 3281399342

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Least Common Multiple of 57278 and 57289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57278 and 57289, than apply into the LCM equation.

GCF(57278,57289) = 1
LCM(57278,57289) = ( 57278 × 57289) / 1
LCM(57278,57289) = 3281399342 / 1
LCM(57278,57289) = 3281399342

Least Common Multiple (LCM) of 57278 and 57289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57278 and 57289. First we will calculate the prime factors of 57278 and 57289.

Prime Factorization of 57278

Prime factors of 57278 are 2, 13, 2203. Prime factorization of 57278 in exponential form is:

57278 = 21 × 131 × 22031

Prime Factorization of 57289

Prime factors of 57289 are 59, 971. Prime factorization of 57289 in exponential form is:

57289 = 591 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 57278 and 57289.

LCM(57278,57289) = 21 × 131 × 22031 × 591 × 9711
LCM(57278,57289) = 3281399342