What is the Least Common Multiple of 51786 and 51805?

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 51786 and 51805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51786 and 51805, than apply into the LCM equation.

GCF(51786,51805) = 1
LCM(51786,51805) = ( 51786 × 51805) / 1
LCM(51786,51805) = 2682773730 / 1
LCM(51786,51805) = 2682773730

Least Common Multiple (LCM) of 51786 and 51805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51786 and 51805. First we will calculate the prime factors of 51786 and 51805.

Prime Factorization of 51786

Prime Factorization of 51805

Now multiplying the highest exponent prime factors to calculate the LCM of 51786 and 51805.

LCM(51786,51805) = 2¹ × 3³ × 7¹ × 137¹ × 5¹ × 13¹ × 797¹
LCM(51786,51805) = 2682773730