What is the Least Common Multiple of 19404 and 19408?

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 19404 and 19408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19404 and 19408, than apply into the LCM equation.

GCF(19404,19408) = 4
LCM(19404,19408) = ( 19404 × 19408) / 4
LCM(19404,19408) = 376592832 / 4
LCM(19404,19408) = 94148208

Least Common Multiple (LCM) of 19404 and 19408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19404 and 19408. First we will calculate the prime factors of 19404 and 19408.

Prime Factorization of 19404

Prime Factorization of 19408

Now multiplying the highest exponent prime factors to calculate the LCM of 19404 and 19408.

LCM(19404,19408) = 2⁴ × 3² × 7² × 11¹ × 1213¹
LCM(19404,19408) = 94148208