What is the Least Common Multiple of 39681 and 39690?

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 39681 and 39690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39681 and 39690, than apply into the LCM equation.

GCF(39681,39690) = 9
LCM(39681,39690) = ( 39681 × 39690) / 9
LCM(39681,39690) = 1574938890 / 9
LCM(39681,39690) = 174993210

Least Common Multiple (LCM) of 39681 and 39690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39681 and 39690. First we will calculate the prime factors of 39681 and 39690.

Prime Factorization of 39681

Prime Factorization of 39690

Now multiplying the highest exponent prime factors to calculate the LCM of 39681 and 39690.

LCM(39681,39690) = 3⁴ × 4409¹ × 2¹ × 5¹ × 7²
LCM(39681,39690) = 174993210