What is the Least Common Multiple of 1278 and 1291?

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 1278 and 1291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1278 and 1291, than apply into the LCM equation.

GCF(1278,1291) = 1
LCM(1278,1291) = ( 1278 × 1291) / 1
LCM(1278,1291) = 1649898 / 1
LCM(1278,1291) = 1649898

Least Common Multiple (LCM) of 1278 and 1291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1278 and 1291. First we will calculate the prime factors of 1278 and 1291.

Prime Factorization of 1278

Prime Factorization of 1291

Now multiplying the highest exponent prime factors to calculate the LCM of 1278 and 1291.

LCM(1278,1291) = 2¹ × 3² × 71¹ × 1291¹
LCM(1278,1291) = 1649898