What is the Least Common Multiple of 11470 and 11488?

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 11470 and 11488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11470 and 11488, than apply into the LCM equation.

GCF(11470,11488) = 2
LCM(11470,11488) = ( 11470 × 11488) / 2
LCM(11470,11488) = 131767360 / 2
LCM(11470,11488) = 65883680

Least Common Multiple (LCM) of 11470 and 11488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11470 and 11488. First we will calculate the prime factors of 11470 and 11488.

Prime Factorization of 11470

Prime Factorization of 11488

Now multiplying the highest exponent prime factors to calculate the LCM of 11470 and 11488.

LCM(11470,11488) = 2⁵ × 5¹ × 31¹ × 37¹ × 359¹
LCM(11470,11488) = 65883680