What is the Least Common Multiple of 15272 and 15280?

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 15272 and 15280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15272 and 15280, than apply into the LCM equation.

GCF(15272,15280) = 8
LCM(15272,15280) = ( 15272 × 15280) / 8
LCM(15272,15280) = 233356160 / 8
LCM(15272,15280) = 29169520

Least Common Multiple (LCM) of 15272 and 15280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15272 and 15280. First we will calculate the prime factors of 15272 and 15280.

Prime Factorization of 15272

Prime Factorization of 15280

Now multiplying the highest exponent prime factors to calculate the LCM of 15272 and 15280.

LCM(15272,15280) = 2⁴ × 23¹ × 83¹ × 5¹ × 191¹
LCM(15272,15280) = 29169520