What is the Least Common Multiple of 11853 and 11869?

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 11853 and 11869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11853 and 11869, than apply into the LCM equation.

GCF(11853,11869) = 1
LCM(11853,11869) = ( 11853 × 11869) / 1
LCM(11853,11869) = 140683257 / 1
LCM(11853,11869) = 140683257

Least Common Multiple (LCM) of 11853 and 11869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11853 and 11869. First we will calculate the prime factors of 11853 and 11869.

Prime Factorization of 11853

Prime Factorization of 11869

Now multiplying the highest exponent prime factors to calculate the LCM of 11853 and 11869.

LCM(11853,11869) = 3³ × 439¹ × 11¹ × 13¹ × 83¹
LCM(11853,11869) = 140683257