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What is the Least Common Multiple of 57346 and 57365?

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 57346 and 57365 is 3289653290.

LCM(57346,57365) = 3289653290

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Least Common Multiple of 57346 and 57365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57346 and 57365, than apply into the LCM equation.

GCF(57346,57365) = 1
LCM(57346,57365) = ( 57346 × 57365) / 1
LCM(57346,57365) = 3289653290 / 1
LCM(57346,57365) = 3289653290

Least Common Multiple (LCM) of 57346 and 57365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57346 and 57365. First we will calculate the prime factors of 57346 and 57365.

Prime Factorization of 57346

Prime factors of 57346 are 2, 53, 541. Prime factorization of 57346 in exponential form is:

57346 = 21 × 531 × 5411

Prime Factorization of 57365

Prime factors of 57365 are 5, 7, 11, 149. Prime factorization of 57365 in exponential form is:

57365 = 51 × 71 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 57346 and 57365.

LCM(57346,57365) = 21 × 531 × 5411 × 51 × 71 × 111 × 1491
LCM(57346,57365) = 3289653290