What is the Least Common Multiple of 15808 and 15822?

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 15808 and 15822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15808 and 15822, than apply into the LCM equation.

GCF(15808,15822) = 2
LCM(15808,15822) = ( 15808 × 15822) / 2
LCM(15808,15822) = 250114176 / 2
LCM(15808,15822) = 125057088

Least Common Multiple (LCM) of 15808 and 15822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15808 and 15822. First we will calculate the prime factors of 15808 and 15822.

Prime Factorization of 15808

Prime Factorization of 15822

Now multiplying the highest exponent prime factors to calculate the LCM of 15808 and 15822.

LCM(15808,15822) = 2⁶ × 13¹ × 19¹ × 3³ × 293¹
LCM(15808,15822) = 125057088