What is the Least Common Multiple of 39729 and 39738?

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 39729 and 39738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39729 and 39738, than apply into the LCM equation.

GCF(39729,39738) = 3
LCM(39729,39738) = ( 39729 × 39738) / 3
LCM(39729,39738) = 1578751002 / 3
LCM(39729,39738) = 526250334

Least Common Multiple (LCM) of 39729 and 39738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39729 and 39738. First we will calculate the prime factors of 39729 and 39738.

Prime Factorization of 39729

Prime Factorization of 39738

Now multiplying the highest exponent prime factors to calculate the LCM of 39729 and 39738.

LCM(39729,39738) = 3¹ × 17¹ × 19¹ × 41¹ × 2¹ × 37¹ × 179¹
LCM(39729,39738) = 526250334