What is the Least Common Multiple of 1219 and 1238?

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 1219 and 1238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1219 and 1238, than apply into the LCM equation.

GCF(1219,1238) = 1
LCM(1219,1238) = ( 1219 × 1238) / 1
LCM(1219,1238) = 1509122 / 1
LCM(1219,1238) = 1509122

Least Common Multiple (LCM) of 1219 and 1238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1219 and 1238. First we will calculate the prime factors of 1219 and 1238.

Prime Factorization of 1219

Prime Factorization of 1238

Now multiplying the highest exponent prime factors to calculate the LCM of 1219 and 1238.

LCM(1219,1238) = 23¹ × 53¹ × 2¹ × 619¹
LCM(1219,1238) = 1509122