What is the Least Common Multiple of 8046 and 8062?

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 8046 and 8062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8046 and 8062, than apply into the LCM equation.

GCF(8046,8062) = 2
LCM(8046,8062) = ( 8046 × 8062) / 2
LCM(8046,8062) = 64866852 / 2
LCM(8046,8062) = 32433426

Least Common Multiple (LCM) of 8046 and 8062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8046 and 8062. First we will calculate the prime factors of 8046 and 8062.

Prime Factorization of 8046

Prime Factorization of 8062

Now multiplying the highest exponent prime factors to calculate the LCM of 8046 and 8062.

LCM(8046,8062) = 2¹ × 3³ × 149¹ × 29¹ × 139¹
LCM(8046,8062) = 32433426