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What is the Least Common Multiple of 1277 and 1286?

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 1277 and 1286 is 1642222.

LCM(1277,1286) = 1642222

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Least Common Multiple of 1277 and 1286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1277 and 1286, than apply into the LCM equation.

GCF(1277,1286) = 1
LCM(1277,1286) = ( 1277 × 1286) / 1
LCM(1277,1286) = 1642222 / 1
LCM(1277,1286) = 1642222

Least Common Multiple (LCM) of 1277 and 1286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1277 and 1286. First we will calculate the prime factors of 1277 and 1286.

Prime Factorization of 1277

Prime factors of 1277 are 1277. Prime factorization of 1277 in exponential form is:

1277 = 12771

Prime Factorization of 1286

Prime factors of 1286 are 2, 643. Prime factorization of 1286 in exponential form is:

1286 = 21 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 1277 and 1286.

LCM(1277,1286) = 12771 × 21 × 6431
LCM(1277,1286) = 1642222