What is the Least Common Multiple of 4254 and 4258?

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 4258 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 4258, than apply into the LCM equation.

GCF(4254,4258) = 2
LCM(4254,4258) = ( 4254 × 4258) / 2
LCM(4254,4258) = 18113532 / 2
LCM(4254,4258) = 9056766

Least Common Multiple (LCM) of 4254 and 4258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4254 and 4258. First we will calculate the prime factors of 4254 and 4258.

Prime Factorization of 4254

Prime Factorization of 4258

Now multiplying the highest exponent prime factors to calculate the LCM of 4254 and 4258.

LCM(4254,4258) = 2¹ × 3¹ × 709¹ × 2129¹
LCM(4254,4258) = 9056766