What is the Least Common Multiple of 39855 and 39866?

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 39855 and 39866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39855 and 39866, than apply into the LCM equation.

GCF(39855,39866) = 1
LCM(39855,39866) = ( 39855 × 39866) / 1
LCM(39855,39866) = 1588859430 / 1
LCM(39855,39866) = 1588859430

Least Common Multiple (LCM) of 39855 and 39866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39855 and 39866. First we will calculate the prime factors of 39855 and 39866.

Prime Factorization of 39855

Prime Factorization of 39866

Now multiplying the highest exponent prime factors to calculate the LCM of 39855 and 39866.

LCM(39855,39866) = 3¹ × 5¹ × 2657¹ × 2¹ × 31¹ × 643¹
LCM(39855,39866) = 1588859430