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What is the Least Common Multiple of 57283 and 57300?

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 57283 and 57300 is 3282315900.

LCM(57283,57300) = 3282315900

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Least Common Multiple of 57283 and 57300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57283 and 57300, than apply into the LCM equation.

GCF(57283,57300) = 1
LCM(57283,57300) = ( 57283 × 57300) / 1
LCM(57283,57300) = 3282315900 / 1
LCM(57283,57300) = 3282315900

Least Common Multiple (LCM) of 57283 and 57300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57283 and 57300. First we will calculate the prime factors of 57283 and 57300.

Prime Factorization of 57283

Prime factors of 57283 are 57283. Prime factorization of 57283 in exponential form is:

57283 = 572831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 57283 and 57300.

LCM(57283,57300) = 572831 × 22 × 31 × 52 × 1911
LCM(57283,57300) = 3282315900