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What is the Least Common Multiple of 57317 and 57332?

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 57317 and 57332 is 3286098244.

LCM(57317,57332) = 3286098244

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Least Common Multiple of 57317 and 57332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57317 and 57332, than apply into the LCM equation.

GCF(57317,57332) = 1
LCM(57317,57332) = ( 57317 × 57332) / 1
LCM(57317,57332) = 3286098244 / 1
LCM(57317,57332) = 3286098244

Least Common Multiple (LCM) of 57317 and 57332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57317 and 57332. First we will calculate the prime factors of 57317 and 57332.

Prime Factorization of 57317

Prime factors of 57317 are 13, 4409. Prime factorization of 57317 in exponential form is:

57317 = 131 × 44091

Prime Factorization of 57332

Prime factors of 57332 are 2, 11, 1303. Prime factorization of 57332 in exponential form is:

57332 = 22 × 111 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 57317 and 57332.

LCM(57317,57332) = 131 × 44091 × 22 × 111 × 13031
LCM(57317,57332) = 3286098244