What is the Least Common Multiple of 39680 and 39686?

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 39680 and 39686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39680 and 39686, than apply into the LCM equation.

GCF(39680,39686) = 2
LCM(39680,39686) = ( 39680 × 39686) / 2
LCM(39680,39686) = 1574740480 / 2
LCM(39680,39686) = 787370240

Least Common Multiple (LCM) of 39680 and 39686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39680 and 39686. First we will calculate the prime factors of 39680 and 39686.

Prime Factorization of 39680

Prime Factorization of 39686

Now multiplying the highest exponent prime factors to calculate the LCM of 39680 and 39686.

LCM(39680,39686) = 2⁸ × 5¹ × 31¹ × 19843¹
LCM(39680,39686) = 787370240