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What is the Least Common Multiple of 1275 and 1281?

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 1275 and 1281 is 544425.

LCM(1275,1281) = 544425

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Least Common Multiple of 1275 and 1281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1275 and 1281, than apply into the LCM equation.

GCF(1275,1281) = 3
LCM(1275,1281) = ( 1275 × 1281) / 3
LCM(1275,1281) = 1633275 / 3
LCM(1275,1281) = 544425

Least Common Multiple (LCM) of 1275 and 1281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1275 and 1281. First we will calculate the prime factors of 1275 and 1281.

Prime Factorization of 1275

Prime factors of 1275 are 3, 5, 17. Prime factorization of 1275 in exponential form is:

1275 = 31 × 52 × 171

Prime Factorization of 1281

Prime factors of 1281 are 3, 7, 61. Prime factorization of 1281 in exponential form is:

1281 = 31 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 1275 and 1281.

LCM(1275,1281) = 31 × 52 × 171 × 71 × 611
LCM(1275,1281) = 544425