What is the Least Common Multiple of 1269 and 1284?

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 1269 and 1284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1269 and 1284, than apply into the LCM equation.

GCF(1269,1284) = 3
LCM(1269,1284) = ( 1269 × 1284) / 3
LCM(1269,1284) = 1629396 / 3
LCM(1269,1284) = 543132

Least Common Multiple (LCM) of 1269 and 1284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1269 and 1284. First we will calculate the prime factors of 1269 and 1284.

Prime Factorization of 1269

Prime Factorization of 1284

Now multiplying the highest exponent prime factors to calculate the LCM of 1269 and 1284.

LCM(1269,1284) = 3³ × 47¹ × 2² × 107¹
LCM(1269,1284) = 543132