What is the Least Common Multiple of 39882 and 39894?

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 39882 and 39894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39882 and 39894, than apply into the LCM equation.

GCF(39882,39894) = 6
LCM(39882,39894) = ( 39882 × 39894) / 6
LCM(39882,39894) = 1591052508 / 6
LCM(39882,39894) = 265175418

Least Common Multiple (LCM) of 39882 and 39894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39882 and 39894. First we will calculate the prime factors of 39882 and 39894.

Prime Factorization of 39882

Prime Factorization of 39894

Now multiplying the highest exponent prime factors to calculate the LCM of 39882 and 39894.

LCM(39882,39894) = 2¹ × 3¹ × 17² × 23¹ × 61¹ × 109¹
LCM(39882,39894) = 265175418