What is the Least Common Multiple of 39852 and 39862?

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 39852 and 39862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39852 and 39862, than apply into the LCM equation.

GCF(39852,39862) = 2
LCM(39852,39862) = ( 39852 × 39862) / 2
LCM(39852,39862) = 1588580424 / 2
LCM(39852,39862) = 794290212

Least Common Multiple (LCM) of 39852 and 39862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39852 and 39862. First we will calculate the prime factors of 39852 and 39862.

Prime Factorization of 39852

Prime Factorization of 39862

Now multiplying the highest exponent prime factors to calculate the LCM of 39852 and 39862.

LCM(39852,39862) = 2² × 3⁵ × 41¹ × 19¹ × 1049¹
LCM(39852,39862) = 794290212