What is the Least Common Multiple of 11858 and 11876?

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 11858 and 11876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11858 and 11876, than apply into the LCM equation.

GCF(11858,11876) = 2
LCM(11858,11876) = ( 11858 × 11876) / 2
LCM(11858,11876) = 140825608 / 2
LCM(11858,11876) = 70412804

Least Common Multiple (LCM) of 11858 and 11876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11858 and 11876. First we will calculate the prime factors of 11858 and 11876.

Prime Factorization of 11858

Prime Factorization of 11876

Now multiplying the highest exponent prime factors to calculate the LCM of 11858 and 11876.

LCM(11858,11876) = 2² × 7² × 11² × 2969¹
LCM(11858,11876) = 70412804