What is the Least Common Multiple of 4254 and 4262?

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 4262 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 4262, than apply into the LCM equation.

GCF(4254,4262) = 2
LCM(4254,4262) = ( 4254 × 4262) / 2
LCM(4254,4262) = 18130548 / 2
LCM(4254,4262) = 9065274

Least Common Multiple (LCM) of 4254 and 4262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4254 and 4262. First we will calculate the prime factors of 4254 and 4262.

Prime Factorization of 4254

Prime Factorization of 4262

Now multiplying the highest exponent prime factors to calculate the LCM of 4254 and 4262.

LCM(4254,4262) = 2¹ × 3¹ × 709¹ × 2131¹
LCM(4254,4262) = 9065274