What is the Least Common Multiple of 38856 and 38866?

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 38856 and 38866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38856 and 38866, than apply into the LCM equation.

GCF(38856,38866) = 2
LCM(38856,38866) = ( 38856 × 38866) / 2
LCM(38856,38866) = 1510177296 / 2
LCM(38856,38866) = 755088648

Least Common Multiple (LCM) of 38856 and 38866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38856 and 38866. First we will calculate the prime factors of 38856 and 38866.

Prime Factorization of 38856

Prime Factorization of 38866

Now multiplying the highest exponent prime factors to calculate the LCM of 38856 and 38866.

LCM(38856,38866) = 2³ × 3¹ × 1619¹ × 19433¹
LCM(38856,38866) = 755088648