What is the Least Common Multiple of 15088 and 15096?

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 15088 and 15096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15088 and 15096, than apply into the LCM equation.

GCF(15088,15096) = 8
LCM(15088,15096) = ( 15088 × 15096) / 8
LCM(15088,15096) = 227768448 / 8
LCM(15088,15096) = 28471056

Least Common Multiple (LCM) of 15088 and 15096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15088 and 15096. First we will calculate the prime factors of 15088 and 15096.

Prime Factorization of 15088

Prime Factorization of 15096

Now multiplying the highest exponent prime factors to calculate the LCM of 15088 and 15096.

LCM(15088,15096) = 2⁴ × 23¹ × 41¹ × 3¹ × 17¹ × 37¹
LCM(15088,15096) = 28471056