What is the Least Common Multiple of 65838 and 65857?

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 65838 and 65857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65838 and 65857, than apply into the LCM equation.

GCF(65838,65857) = 1
LCM(65838,65857) = ( 65838 × 65857) / 1
LCM(65838,65857) = 4335893166 / 1
LCM(65838,65857) = 4335893166

Least Common Multiple (LCM) of 65838 and 65857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65838 and 65857. First we will calculate the prime factors of 65838 and 65857.

Prime Factorization of 65838

Prime Factorization of 65857

Now multiplying the highest exponent prime factors to calculate the LCM of 65838 and 65857.

LCM(65838,65857) = 2¹ × 3¹ × 10973¹ × 11¹ × 5987¹
LCM(65838,65857) = 4335893166