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What is the Least Common Multiple of 57300 and 57304?

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 57300 and 57304 is 820879800.

LCM(57300,57304) = 820879800

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Least Common Multiple of 57300 and 57304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57300 and 57304, than apply into the LCM equation.

GCF(57300,57304) = 4
LCM(57300,57304) = ( 57300 × 57304) / 4
LCM(57300,57304) = 3283519200 / 4
LCM(57300,57304) = 820879800

Least Common Multiple (LCM) of 57300 and 57304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57300 and 57304. First we will calculate the prime factors of 57300 and 57304.

Prime Factorization of 57300

Prime factors of 57300 are 2, 3, 5, 191. Prime factorization of 57300 in exponential form is:

57300 = 22 × 31 × 52 × 1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 57300 and 57304.

LCM(57300,57304) = 23 × 31 × 52 × 1911 × 131 × 191 × 291
LCM(57300,57304) = 820879800