What is the Least Common Multiple of 39843 and 39851?

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 39843 and 39851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39843 and 39851, than apply into the LCM equation.

GCF(39843,39851) = 1
LCM(39843,39851) = ( 39843 × 39851) / 1
LCM(39843,39851) = 1587783393 / 1
LCM(39843,39851) = 1587783393

Least Common Multiple (LCM) of 39843 and 39851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39843 and 39851. First we will calculate the prime factors of 39843 and 39851.

Prime Factorization of 39843

Prime Factorization of 39851

Now multiplying the highest exponent prime factors to calculate the LCM of 39843 and 39851.

LCM(39843,39851) = 3² × 19¹ × 233¹ × 7¹ × 5693¹
LCM(39843,39851) = 1587783393