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What is the Least Common Multiple of 57257 and 57274?

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 57257 and 57274 is 3279337418.

LCM(57257,57274) = 3279337418

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Least Common Multiple of 57257 and 57274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57257 and 57274, than apply into the LCM equation.

GCF(57257,57274) = 1
LCM(57257,57274) = ( 57257 × 57274) / 1
LCM(57257,57274) = 3279337418 / 1
LCM(57257,57274) = 3279337418

Least Common Multiple (LCM) of 57257 and 57274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57257 and 57274. First we will calculate the prime factors of 57257 and 57274.

Prime Factorization of 57257

Prime factors of 57257 are 31, 1847. Prime factorization of 57257 in exponential form is:

57257 = 311 × 18471

Prime Factorization of 57274

Prime factors of 57274 are 2, 7, 4091. Prime factorization of 57274 in exponential form is:

57274 = 21 × 71 × 40911

Now multiplying the highest exponent prime factors to calculate the LCM of 57257 and 57274.

LCM(57257,57274) = 311 × 18471 × 21 × 71 × 40911
LCM(57257,57274) = 3279337418