What is the Least Common Multiple of 13219 and 13237?

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 13219 and 13237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13219 and 13237, than apply into the LCM equation.

GCF(13219,13237) = 1
LCM(13219,13237) = ( 13219 × 13237) / 1
LCM(13219,13237) = 174979903 / 1
LCM(13219,13237) = 174979903

Least Common Multiple (LCM) of 13219 and 13237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13219 and 13237. First we will calculate the prime factors of 13219 and 13237.

Prime Factorization of 13219

Prime Factorization of 13237

Now multiplying the highest exponent prime factors to calculate the LCM of 13219 and 13237.

LCM(13219,13237) = 13219¹ × 7¹ × 31¹ × 61¹
LCM(13219,13237) = 174979903