What is the Least Common Multiple of 4254 and 4266?

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 4254 and 4266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4254 and 4266, than apply into the LCM equation.

GCF(4254,4266) = 6
LCM(4254,4266) = ( 4254 × 4266) / 6
LCM(4254,4266) = 18147564 / 6
LCM(4254,4266) = 3024594

Least Common Multiple (LCM) of 4254 and 4266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4254 and 4266. First we will calculate the prime factors of 4254 and 4266.

Prime Factorization of 4254

Prime Factorization of 4266

Now multiplying the highest exponent prime factors to calculate the LCM of 4254 and 4266.

LCM(4254,4266) = 2¹ × 3³ × 709¹ × 79¹
LCM(4254,4266) = 3024594