What is the Least Common Multiple of 7074 and 7089?

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 7074 and 7089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7074 and 7089, than apply into the LCM equation.

GCF(7074,7089) = 3
LCM(7074,7089) = ( 7074 × 7089) / 3
LCM(7074,7089) = 50147586 / 3
LCM(7074,7089) = 16715862

Least Common Multiple (LCM) of 7074 and 7089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7074 and 7089. First we will calculate the prime factors of 7074 and 7089.

Prime Factorization of 7074

Prime Factorization of 7089

Now multiplying the highest exponent prime factors to calculate the LCM of 7074 and 7089.

LCM(7074,7089) = 2¹ × 3³ × 131¹ × 17¹ × 139¹
LCM(7074,7089) = 16715862