What is the Least Common Multiple of 15804 and 15808?

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 15804 and 15808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15804 and 15808, than apply into the LCM equation.

GCF(15804,15808) = 4
LCM(15804,15808) = ( 15804 × 15808) / 4
LCM(15804,15808) = 249829632 / 4
LCM(15804,15808) = 62457408

Least Common Multiple (LCM) of 15804 and 15808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15804 and 15808. First we will calculate the prime factors of 15804 and 15808.

Prime Factorization of 15804

Prime Factorization of 15808

Now multiplying the highest exponent prime factors to calculate the LCM of 15804 and 15808.

LCM(15804,15808) = 2⁶ × 3² × 439¹ × 13¹ × 19¹
LCM(15804,15808) = 62457408