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What is the Least Common Multiple of 57250 and 57256?

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 57250 and 57256 is 1638953000.

LCM(57250,57256) = 1638953000

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Least Common Multiple of 57250 and 57256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57250 and 57256, than apply into the LCM equation.

GCF(57250,57256) = 2
LCM(57250,57256) = ( 57250 × 57256) / 2
LCM(57250,57256) = 3277906000 / 2
LCM(57250,57256) = 1638953000

Least Common Multiple (LCM) of 57250 and 57256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57250 and 57256. First we will calculate the prime factors of 57250 and 57256.

Prime Factorization of 57250

Prime factors of 57250 are 2, 5, 229. Prime factorization of 57250 in exponential form is:

57250 = 21 × 53 × 2291

Prime Factorization of 57256

Prime factors of 57256 are 2, 17, 421. Prime factorization of 57256 in exponential form is:

57256 = 23 × 171 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 57250 and 57256.

LCM(57250,57256) = 23 × 53 × 2291 × 171 × 4211
LCM(57250,57256) = 1638953000