What is the Least Common Multiple of 4254 and 4260?

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 4260 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 4260, than apply into the LCM equation.

GCF(4254,4260) = 6
LCM(4254,4260) = ( 4254 × 4260) / 6
LCM(4254,4260) = 18122040 / 6
LCM(4254,4260) = 3020340

Least Common Multiple (LCM) of 4254 and 4260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4254 and 4260. First we will calculate the prime factors of 4254 and 4260.

Prime Factorization of 4254

Prime Factorization of 4260

Now multiplying the highest exponent prime factors to calculate the LCM of 4254 and 4260.

LCM(4254,4260) = 2² × 3¹ × 709¹ × 5¹ × 71¹
LCM(4254,4260) = 3020340