What is the Least Common Multiple of 1256 and 1274?

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 1256 and 1274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1256 and 1274, than apply into the LCM equation.

GCF(1256,1274) = 2
LCM(1256,1274) = ( 1256 × 1274) / 2
LCM(1256,1274) = 1600144 / 2
LCM(1256,1274) = 800072

Least Common Multiple (LCM) of 1256 and 1274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1256 and 1274. First we will calculate the prime factors of 1256 and 1274.

Prime Factorization of 1256

Prime Factorization of 1274

Now multiplying the highest exponent prime factors to calculate the LCM of 1256 and 1274.

LCM(1256,1274) = 2³ × 157¹ × 7² × 13¹
LCM(1256,1274) = 800072