What is the Least Common Multiple of 11856 and 11865?

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 11856 and 11865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11856 and 11865, than apply into the LCM equation.

GCF(11856,11865) = 3
LCM(11856,11865) = ( 11856 × 11865) / 3
LCM(11856,11865) = 140671440 / 3
LCM(11856,11865) = 46890480

Least Common Multiple (LCM) of 11856 and 11865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11856 and 11865. First we will calculate the prime factors of 11856 and 11865.

Prime Factorization of 11856

Prime Factorization of 11865

Now multiplying the highest exponent prime factors to calculate the LCM of 11856 and 11865.

LCM(11856,11865) = 2⁴ × 3¹ × 13¹ × 19¹ × 5¹ × 7¹ × 113¹
LCM(11856,11865) = 46890480