What is the Least Common Multiple of 11774 and 11785?

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 11774 and 11785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11774 and 11785, than apply into the LCM equation.

GCF(11774,11785) = 1
LCM(11774,11785) = ( 11774 × 11785) / 1
LCM(11774,11785) = 138756590 / 1
LCM(11774,11785) = 138756590

Least Common Multiple (LCM) of 11774 and 11785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11774 and 11785. First we will calculate the prime factors of 11774 and 11785.

Prime Factorization of 11774

Prime Factorization of 11785

Now multiplying the highest exponent prime factors to calculate the LCM of 11774 and 11785.

LCM(11774,11785) = 2¹ × 7¹ × 29² × 5¹ × 2357¹
LCM(11774,11785) = 138756590