What is the Least Common Multiple of 11832 and 11842?

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 11842 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 11842, than apply into the LCM equation.

GCF(11832,11842) = 2
LCM(11832,11842) = ( 11832 × 11842) / 2
LCM(11832,11842) = 140114544 / 2
LCM(11832,11842) = 70057272

Least Common Multiple (LCM) of 11832 and 11842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11832 and 11842. First we will calculate the prime factors of 11832 and 11842.

Prime Factorization of 11832

Prime Factorization of 11842

Now multiplying the highest exponent prime factors to calculate the LCM of 11832 and 11842.

LCM(11832,11842) = 2³ × 3¹ × 17¹ × 29¹ × 31¹ × 191¹
LCM(11832,11842) = 70057272