What is the Least Common Multiple of 1264 and 1278?

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 1264 and 1278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1264 and 1278, than apply into the LCM equation.

GCF(1264,1278) = 2
LCM(1264,1278) = ( 1264 × 1278) / 2
LCM(1264,1278) = 1615392 / 2
LCM(1264,1278) = 807696

Least Common Multiple (LCM) of 1264 and 1278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1264 and 1278. First we will calculate the prime factors of 1264 and 1278.

Prime Factorization of 1264

Prime Factorization of 1278

Now multiplying the highest exponent prime factors to calculate the LCM of 1264 and 1278.

LCM(1264,1278) = 2⁴ × 79¹ × 3² × 71¹
LCM(1264,1278) = 807696