What is the Least Common Multiple of 2265 and 2285?

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 2265 and 2285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2265 and 2285, than apply into the LCM equation.

GCF(2265,2285) = 5
LCM(2265,2285) = ( 2265 × 2285) / 5
LCM(2265,2285) = 5175525 / 5
LCM(2265,2285) = 1035105

Least Common Multiple (LCM) of 2265 and 2285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2265 and 2285. First we will calculate the prime factors of 2265 and 2285.

Prime Factorization of 2265

Prime Factorization of 2285

Now multiplying the highest exponent prime factors to calculate the LCM of 2265 and 2285.

LCM(2265,2285) = 3¹ × 5¹ × 151¹ × 457¹
LCM(2265,2285) = 1035105