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What is the Least Common Multiple of 1272 and 1287?

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 1272 and 1287 is 545688.

LCM(1272,1287) = 545688

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Least Common Multiple of 1272 and 1287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1272 and 1287, than apply into the LCM equation.

GCF(1272,1287) = 3
LCM(1272,1287) = ( 1272 × 1287) / 3
LCM(1272,1287) = 1637064 / 3
LCM(1272,1287) = 545688

Least Common Multiple (LCM) of 1272 and 1287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1272 and 1287. First we will calculate the prime factors of 1272 and 1287.

Prime Factorization of 1272

Prime factors of 1272 are 2, 3, 53. Prime factorization of 1272 in exponential form is:

1272 = 23 × 31 × 531

Prime Factorization of 1287

Prime factors of 1287 are 3, 11, 13. Prime factorization of 1287 in exponential form is:

1287 = 32 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1272 and 1287.

LCM(1272,1287) = 23 × 32 × 531 × 111 × 131
LCM(1272,1287) = 545688