What is the Least Common Multiple of 39808 and 39819?

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 39808 and 39819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39808 and 39819, than apply into the LCM equation.

GCF(39808,39819) = 1
LCM(39808,39819) = ( 39808 × 39819) / 1
LCM(39808,39819) = 1585114752 / 1
LCM(39808,39819) = 1585114752

Least Common Multiple (LCM) of 39808 and 39819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39808 and 39819. First we will calculate the prime factors of 39808 and 39819.

Prime Factorization of 39808

Prime Factorization of 39819

Now multiplying the highest exponent prime factors to calculate the LCM of 39808 and 39819.

LCM(39808,39819) = 2⁷ × 311¹ × 3¹ × 13¹ × 1021¹
LCM(39808,39819) = 1585114752