What is the Least Common Multiple of 2214 and 2229?

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 2229 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 2229, than apply into the LCM equation.

GCF(2214,2229) = 3
LCM(2214,2229) = ( 2214 × 2229) / 3
LCM(2214,2229) = 4935006 / 3
LCM(2214,2229) = 1645002

Least Common Multiple (LCM) of 2214 and 2229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2214 and 2229. First we will calculate the prime factors of 2214 and 2229.

Prime Factorization of 2214

Prime Factorization of 2229

Now multiplying the highest exponent prime factors to calculate the LCM of 2214 and 2229.

LCM(2214,2229) = 2¹ × 3³ × 41¹ × 743¹
LCM(2214,2229) = 1645002