What is the Least Common Multiple of 7066 and 7074?

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 7066 and 7074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7066 and 7074, than apply into the LCM equation.

GCF(7066,7074) = 2
LCM(7066,7074) = ( 7066 × 7074) / 2
LCM(7066,7074) = 49984884 / 2
LCM(7066,7074) = 24992442

Least Common Multiple (LCM) of 7066 and 7074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7066 and 7074. First we will calculate the prime factors of 7066 and 7074.

Prime Factorization of 7066

Prime Factorization of 7074

Now multiplying the highest exponent prime factors to calculate the LCM of 7066 and 7074.

LCM(7066,7074) = 2¹ × 3533¹ × 3³ × 131¹
LCM(7066,7074) = 24992442