What is the Least Common Multiple of 1067 and 1078?

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 1067 and 1078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1067 and 1078, than apply into the LCM equation.

GCF(1067,1078) = 11
LCM(1067,1078) = ( 1067 × 1078) / 11
LCM(1067,1078) = 1150226 / 11
LCM(1067,1078) = 104566

Least Common Multiple (LCM) of 1067 and 1078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1067 and 1078. First we will calculate the prime factors of 1067 and 1078.

Prime Factorization of 1067

Prime Factorization of 1078

Now multiplying the highest exponent prime factors to calculate the LCM of 1067 and 1078.

LCM(1067,1078) = 11¹ × 97¹ × 2¹ × 7²
LCM(1067,1078) = 104566