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What is the Least Common Multiple of 6277 and 6293?

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 6277 and 6293 is 39501161.

LCM(6277,6293) = 39501161

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Least Common Multiple of 6277 and 6293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6277 and 6293, than apply into the LCM equation.

GCF(6277,6293) = 1
LCM(6277,6293) = ( 6277 × 6293) / 1
LCM(6277,6293) = 39501161 / 1
LCM(6277,6293) = 39501161

Least Common Multiple (LCM) of 6277 and 6293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6277 and 6293. First we will calculate the prime factors of 6277 and 6293.

Prime Factorization of 6277

Prime factors of 6277 are 6277. Prime factorization of 6277 in exponential form is:

6277 = 62771

Prime Factorization of 6293

Prime factors of 6293 are 7, 29, 31. Prime factorization of 6293 in exponential form is:

6293 = 71 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6277 and 6293.

LCM(6277,6293) = 62771 × 71 × 291 × 311
LCM(6277,6293) = 39501161