What is the Least Common Multiple of 65813 and 65831?

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 65813 and 65831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65813 and 65831, than apply into the LCM equation.

GCF(65813,65831) = 1
LCM(65813,65831) = ( 65813 × 65831) / 1
LCM(65813,65831) = 4332535603 / 1
LCM(65813,65831) = 4332535603

Least Common Multiple (LCM) of 65813 and 65831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65813 and 65831. First we will calculate the prime factors of 65813 and 65831.

Prime Factorization of 65813

Prime Factorization of 65831

Now multiplying the highest exponent prime factors to calculate the LCM of 65813 and 65831.

LCM(65813,65831) = 11¹ × 31¹ × 193¹ × 65831¹
LCM(65813,65831) = 4332535603