What is the Least Common Multiple of 11880 and 11888?

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 11880 and 11888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11880 and 11888, than apply into the LCM equation.

GCF(11880,11888) = 8
LCM(11880,11888) = ( 11880 × 11888) / 8
LCM(11880,11888) = 141229440 / 8
LCM(11880,11888) = 17653680

Least Common Multiple (LCM) of 11880 and 11888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11880 and 11888. First we will calculate the prime factors of 11880 and 11888.

Prime Factorization of 11880

Prime Factorization of 11888

Now multiplying the highest exponent prime factors to calculate the LCM of 11880 and 11888.

LCM(11880,11888) = 2⁴ × 3³ × 5¹ × 11¹ × 743¹
LCM(11880,11888) = 17653680