What is the Least Common Multiple of 39886 and 39893?

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 39886 and 39893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39886 and 39893, than apply into the LCM equation.

GCF(39886,39893) = 7
LCM(39886,39893) = ( 39886 × 39893) / 7
LCM(39886,39893) = 1591172198 / 7
LCM(39886,39893) = 227310314

Least Common Multiple (LCM) of 39886 and 39893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39886 and 39893. First we will calculate the prime factors of 39886 and 39893.

Prime Factorization of 39886

Prime Factorization of 39893

Now multiplying the highest exponent prime factors to calculate the LCM of 39886 and 39893.

LCM(39886,39893) = 2¹ × 7² × 11¹ × 37¹ × 41¹ × 139¹
LCM(39886,39893) = 227310314