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What is the Least Common Multiple of 57353 and 57372?

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 57353 and 57372 is 3290456316.

LCM(57353,57372) = 3290456316

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Least Common Multiple of 57353 and 57372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57353 and 57372, than apply into the LCM equation.

GCF(57353,57372) = 1
LCM(57353,57372) = ( 57353 × 57372) / 1
LCM(57353,57372) = 3290456316 / 1
LCM(57353,57372) = 3290456316

Least Common Multiple (LCM) of 57353 and 57372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57353 and 57372. First we will calculate the prime factors of 57353 and 57372.

Prime Factorization of 57353

Prime factors of 57353 are 83, 691. Prime factorization of 57353 in exponential form is:

57353 = 831 × 6911

Prime Factorization of 57372

Prime factors of 57372 are 2, 3, 7, 683. Prime factorization of 57372 in exponential form is:

57372 = 22 × 31 × 71 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 57353 and 57372.

LCM(57353,57372) = 831 × 6911 × 22 × 31 × 71 × 6831
LCM(57353,57372) = 3290456316