What is the Least Common Multiple of 15216 and 15234?

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 15216 and 15234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15216 and 15234, than apply into the LCM equation.

GCF(15216,15234) = 6
LCM(15216,15234) = ( 15216 × 15234) / 6
LCM(15216,15234) = 231800544 / 6
LCM(15216,15234) = 38633424

Least Common Multiple (LCM) of 15216 and 15234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15216 and 15234. First we will calculate the prime factors of 15216 and 15234.

Prime Factorization of 15216

Prime Factorization of 15234

Now multiplying the highest exponent prime factors to calculate the LCM of 15216 and 15234.

LCM(15216,15234) = 2⁴ × 3¹ × 317¹ × 2539¹
LCM(15216,15234) = 38633424