What is the Least Common Multiple of 2214 and 2233?

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 2214 and 2233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2214 and 2233, than apply into the LCM equation.

GCF(2214,2233) = 1
LCM(2214,2233) = ( 2214 × 2233) / 1
LCM(2214,2233) = 4943862 / 1
LCM(2214,2233) = 4943862

Least Common Multiple (LCM) of 2214 and 2233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2214 and 2233. First we will calculate the prime factors of 2214 and 2233.

Prime Factorization of 2214

Prime Factorization of 2233

Now multiplying the highest exponent prime factors to calculate the LCM of 2214 and 2233.

LCM(2214,2233) = 2¹ × 3³ × 41¹ × 7¹ × 11¹ × 29¹
LCM(2214,2233) = 4943862