What is the Least Common Multiple of 2219 and 2237?

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 2219 and 2237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2219 and 2237, than apply into the LCM equation.

GCF(2219,2237) = 1
LCM(2219,2237) = ( 2219 × 2237) / 1
LCM(2219,2237) = 4963903 / 1
LCM(2219,2237) = 4963903

Least Common Multiple (LCM) of 2219 and 2237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2219 and 2237. First we will calculate the prime factors of 2219 and 2237.

Prime Factorization of 2219

Prime Factorization of 2237

Now multiplying the highest exponent prime factors to calculate the LCM of 2219 and 2237.

LCM(2219,2237) = 7¹ × 317¹ × 2237¹
LCM(2219,2237) = 4963903