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What is the Least Common Multiple of 57246 and 57250?

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 57246 and 57250 is 1638666750.

LCM(57246,57250) = 1638666750

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Least Common Multiple of 57246 and 57250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57246 and 57250, than apply into the LCM equation.

GCF(57246,57250) = 2
LCM(57246,57250) = ( 57246 × 57250) / 2
LCM(57246,57250) = 3277333500 / 2
LCM(57246,57250) = 1638666750

Least Common Multiple (LCM) of 57246 and 57250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57246 and 57250. First we will calculate the prime factors of 57246 and 57250.

Prime Factorization of 57246

Prime factors of 57246 are 2, 3, 7, 29, 47. Prime factorization of 57246 in exponential form is:

57246 = 21 × 31 × 71 × 291 × 471

Prime Factorization of 57250

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

57250 = 21 × 53 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 57246 and 57250.

LCM(57246,57250) = 21 × 31 × 71 × 291 × 471 × 53 × 2291
LCM(57246,57250) = 1638666750