What is the Least Common Multiple of 2219 and 2239?

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 2239 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 2239, than apply into the LCM equation.

GCF(2219,2239) = 1
LCM(2219,2239) = ( 2219 × 2239) / 1
LCM(2219,2239) = 4968341 / 1
LCM(2219,2239) = 4968341

Least Common Multiple (LCM) of 2219 and 2239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2219 and 2239. First we will calculate the prime factors of 2219 and 2239.

Prime Factorization of 2219

Prime Factorization of 2239

Now multiplying the highest exponent prime factors to calculate the LCM of 2219 and 2239.

LCM(2219,2239) = 7¹ × 317¹ × 2239¹
LCM(2219,2239) = 4968341