What is the Least Common Multiple of 15209 and 15221?

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 15209 and 15221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15209 and 15221, than apply into the LCM equation.

GCF(15209,15221) = 1
LCM(15209,15221) = ( 15209 × 15221) / 1
LCM(15209,15221) = 231496189 / 1
LCM(15209,15221) = 231496189

Least Common Multiple (LCM) of 15209 and 15221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15209 and 15221. First we will calculate the prime factors of 15209 and 15221.

Prime Factorization of 15209

Prime Factorization of 15221

Now multiplying the highest exponent prime factors to calculate the LCM of 15209 and 15221.

LCM(15209,15221) = 67¹ × 227¹ × 31¹ × 491¹
LCM(15209,15221) = 231496189