What is the Least Common Multiple of 15234 and 15241?

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 15234 and 15241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15234 and 15241, than apply into the LCM equation.

GCF(15234,15241) = 1
LCM(15234,15241) = ( 15234 × 15241) / 1
LCM(15234,15241) = 232181394 / 1
LCM(15234,15241) = 232181394

Least Common Multiple (LCM) of 15234 and 15241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15234 and 15241. First we will calculate the prime factors of 15234 and 15241.

Prime Factorization of 15234

Prime Factorization of 15241

Now multiplying the highest exponent prime factors to calculate the LCM of 15234 and 15241.

LCM(15234,15241) = 2¹ × 3¹ × 2539¹ × 15241¹
LCM(15234,15241) = 232181394