What is the Least Common Multiple of 1274 and 1282?

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 1282 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 1282, than apply into the LCM equation.

GCF(1274,1282) = 2
LCM(1274,1282) = ( 1274 × 1282) / 2
LCM(1274,1282) = 1633268 / 2
LCM(1274,1282) = 816634

Least Common Multiple (LCM) of 1274 and 1282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1274 and 1282. First we will calculate the prime factors of 1274 and 1282.

Prime Factorization of 1274

Prime Factorization of 1282

Now multiplying the highest exponent prime factors to calculate the LCM of 1274 and 1282.

LCM(1274,1282) = 2¹ × 7² × 13¹ × 641¹
LCM(1274,1282) = 816634