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What is the Least Common Multiple of 57304 and 57322?

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 57304 and 57322 is 1642389944.

LCM(57304,57322) = 1642389944

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Least Common Multiple of 57304 and 57322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57304 and 57322, than apply into the LCM equation.

GCF(57304,57322) = 2
LCM(57304,57322) = ( 57304 × 57322) / 2
LCM(57304,57322) = 3284779888 / 2
LCM(57304,57322) = 1642389944

Least Common Multiple (LCM) of 57304 and 57322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57304 and 57322. First we will calculate the prime factors of 57304 and 57322.

Prime Factorization of 57304

Prime factors of 57304 are 2, 13, 19, 29. Prime factorization of 57304 in exponential form is:

57304 = 23 × 131 × 191 × 291

Prime Factorization of 57322

Prime factors of 57322 are 2, 28661. Prime factorization of 57322 in exponential form is:

57322 = 21 × 286611

Now multiplying the highest exponent prime factors to calculate the LCM of 57304 and 57322.

LCM(57304,57322) = 23 × 131 × 191 × 291 × 286611
LCM(57304,57322) = 1642389944