What is the Least Common Multiple of 11832 and 11840?

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 11832 and 11840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11832 and 11840, than apply into the LCM equation.

GCF(11832,11840) = 8
LCM(11832,11840) = ( 11832 × 11840) / 8
LCM(11832,11840) = 140090880 / 8
LCM(11832,11840) = 17511360

Least Common Multiple (LCM) of 11832 and 11840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11832 and 11840. First we will calculate the prime factors of 11832 and 11840.

Prime Factorization of 11832

Prime Factorization of 11840

Now multiplying the highest exponent prime factors to calculate the LCM of 11832 and 11840.

LCM(11832,11840) = 2⁶ × 3¹ × 17¹ × 29¹ × 5¹ × 37¹
LCM(11832,11840) = 17511360