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What is the Least Common Multiple of 57348 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 57348 and 57365 is 3289768020.

LCM(57348,57365) = 3289768020

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Least Common Multiple of 57348 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 57348 and 57365, than apply into the LCM equation.

GCF(57348,57365) = 1
LCM(57348,57365) = ( 57348 × 57365) / 1
LCM(57348,57365) = 3289768020 / 1
LCM(57348,57365) = 3289768020

Least Common Multiple (LCM) of 57348 and 57365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57348 and 57365. First we will calculate the prime factors of 57348 and 57365.

Prime Factorization of 57348

Prime factors of 57348 are 2, 3, 59. Prime factorization of 57348 in exponential form is:

57348 = 22 × 35 × 591

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 57348 and 57365.

LCM(57348,57365) = 22 × 35 × 591 × 51 × 71 × 111 × 1491
LCM(57348,57365) = 3289768020