What is the Least Common Multiple of 1274 and 1286?

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 1274 and 1286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1274 and 1286, than apply into the LCM equation.

GCF(1274,1286) = 2
LCM(1274,1286) = ( 1274 × 1286) / 2
LCM(1274,1286) = 1638364 / 2
LCM(1274,1286) = 819182

Least Common Multiple (LCM) of 1274 and 1286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1274 and 1286. First we will calculate the prime factors of 1274 and 1286.

Prime Factorization of 1274

Prime Factorization of 1286

Now multiplying the highest exponent prime factors to calculate the LCM of 1274 and 1286.

LCM(1274,1286) = 2¹ × 7² × 13¹ × 643¹
LCM(1274,1286) = 819182