What is the Least Common Multiple of 1275 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 of 1275 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 1275 and 1287, than apply into the LCM equation.

GCF(1275,1287) = 3
LCM(1275,1287) = ( 1275 × 1287) / 3
LCM(1275,1287) = 1640925 / 3
LCM(1275,1287) = 546975

Least Common Multiple (LCM) of 1275 and 1287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1275 and 1287. First we will calculate the prime factors of 1275 and 1287.

Prime Factorization of 1275

Prime Factorization of 1287

Now multiplying the highest exponent prime factors to calculate the LCM of 1275 and 1287.

LCM(1275,1287) = 3² × 5² × 17¹ × 11¹ × 13¹
LCM(1275,1287) = 546975