What is the Least Common Multiple of 51786 and 51792?

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 51792 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 51792, than apply into the LCM equation.

GCF(51786,51792) = 6
LCM(51786,51792) = ( 51786 × 51792) / 6
LCM(51786,51792) = 2682100512 / 6
LCM(51786,51792) = 447016752

Least Common Multiple (LCM) of 51786 and 51792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51786 and 51792. First we will calculate the prime factors of 51786 and 51792.

Prime Factorization of 51786

Prime Factorization of 51792

Now multiplying the highest exponent prime factors to calculate the LCM of 51786 and 51792.

LCM(51786,51792) = 2⁴ × 3³ × 7¹ × 137¹ × 13¹ × 83¹
LCM(51786,51792) = 447016752