What is the Least Common Multiple of 2260 and 2267?

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 2260 and 2267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2260 and 2267, than apply into the LCM equation.

GCF(2260,2267) = 1
LCM(2260,2267) = ( 2260 × 2267) / 1
LCM(2260,2267) = 5123420 / 1
LCM(2260,2267) = 5123420

Least Common Multiple (LCM) of 2260 and 2267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2260 and 2267. First we will calculate the prime factors of 2260 and 2267.

Prime Factorization of 2260

Prime Factorization of 2267

Now multiplying the highest exponent prime factors to calculate the LCM of 2260 and 2267.

LCM(2260,2267) = 2² × 5¹ × 113¹ × 2267¹
LCM(2260,2267) = 5123420