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What is the Least Common Multiple of 1272 and 1289?

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 1289 is 1639608.

LCM(1272,1289) = 1639608

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Least Common Multiple of 1272 and 1289 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 1289, than apply into the LCM equation.

GCF(1272,1289) = 1
LCM(1272,1289) = ( 1272 × 1289) / 1
LCM(1272,1289) = 1639608 / 1
LCM(1272,1289) = 1639608

Least Common Multiple (LCM) of 1272 and 1289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1272 and 1289. First we will calculate the prime factors of 1272 and 1289.

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 1289

Prime factors of 1289 are 1289. Prime factorization of 1289 in exponential form is:

1289 = 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 1272 and 1289.

LCM(1272,1289) = 23 × 31 × 531 × 12891
LCM(1272,1289) = 1639608