What is the Least Common Multiple of 15280 and 15288?

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 15280 and 15288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15280 and 15288, than apply into the LCM equation.

GCF(15280,15288) = 8
LCM(15280,15288) = ( 15280 × 15288) / 8
LCM(15280,15288) = 233600640 / 8
LCM(15280,15288) = 29200080

Least Common Multiple (LCM) of 15280 and 15288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15280 and 15288. First we will calculate the prime factors of 15280 and 15288.

Prime Factorization of 15280

Prime Factorization of 15288

Now multiplying the highest exponent prime factors to calculate the LCM of 15280 and 15288.

LCM(15280,15288) = 2⁴ × 5¹ × 191¹ × 3¹ × 7² × 13¹
LCM(15280,15288) = 29200080