What is the Least Common Multiple of 39786 and 39798?

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 39786 and 39798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39786 and 39798, than apply into the LCM equation.

GCF(39786,39798) = 6
LCM(39786,39798) = ( 39786 × 39798) / 6
LCM(39786,39798) = 1583403228 / 6
LCM(39786,39798) = 263900538

Least Common Multiple (LCM) of 39786 and 39798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39786 and 39798. First we will calculate the prime factors of 39786 and 39798.

Prime Factorization of 39786

Prime Factorization of 39798

Now multiplying the highest exponent prime factors to calculate the LCM of 39786 and 39798.

LCM(39786,39798) = 2¹ × 3³ × 19¹ × 349¹ × 11¹ × 67¹
LCM(39786,39798) = 263900538