What is the Least Common Multiple of 11785 and 11800?

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 11785 and 11800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11785 and 11800, than apply into the LCM equation.

GCF(11785,11800) = 5
LCM(11785,11800) = ( 11785 × 11800) / 5
LCM(11785,11800) = 139063000 / 5
LCM(11785,11800) = 27812600

Least Common Multiple (LCM) of 11785 and 11800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11785 and 11800. First we will calculate the prime factors of 11785 and 11800.

Prime Factorization of 11785

Prime Factorization of 11800

Now multiplying the highest exponent prime factors to calculate the LCM of 11785 and 11800.

LCM(11785,11800) = 5² × 2357¹ × 2³ × 59¹
LCM(11785,11800) = 27812600