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What is the Least Common Multiple of 57277 and 57291?

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 57277 and 57291 is 3281456607.

LCM(57277,57291) = 3281456607

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Least Common Multiple of 57277 and 57291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57277 and 57291, than apply into the LCM equation.

GCF(57277,57291) = 1
LCM(57277,57291) = ( 57277 × 57291) / 1
LCM(57277,57291) = 3281456607 / 1
LCM(57277,57291) = 3281456607

Least Common Multiple (LCM) of 57277 and 57291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57277 and 57291. First we will calculate the prime factors of 57277 and 57291.

Prime Factorization of 57277

Prime factors of 57277 are 11, 41, 127. Prime factorization of 57277 in exponential form is:

57277 = 111 × 411 × 1271

Prime Factorization of 57291

Prime factors of 57291 are 3, 13, 113. Prime factorization of 57291 in exponential form is:

57291 = 31 × 132 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 57277 and 57291.

LCM(57277,57291) = 111 × 411 × 1271 × 31 × 132 × 1131
LCM(57277,57291) = 3281456607