What is the Least Common Multiple of 15213 and 15229?

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 15213 and 15229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15213 and 15229, than apply into the LCM equation.

GCF(15213,15229) = 1
LCM(15213,15229) = ( 15213 × 15229) / 1
LCM(15213,15229) = 231678777 / 1
LCM(15213,15229) = 231678777

Least Common Multiple (LCM) of 15213 and 15229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15213 and 15229. First we will calculate the prime factors of 15213 and 15229.

Prime Factorization of 15213

Prime Factorization of 15229

Now multiplying the highest exponent prime factors to calculate the LCM of 15213 and 15229.

LCM(15213,15229) = 3¹ × 11¹ × 461¹ × 97¹ × 157¹
LCM(15213,15229) = 231678777