What is the Least Common Multiple of 19054 and 19072?

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 19054 and 19072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19054 and 19072, than apply into the LCM equation.

GCF(19054,19072) = 2
LCM(19054,19072) = ( 19054 × 19072) / 2
LCM(19054,19072) = 363397888 / 2
LCM(19054,19072) = 181698944

Least Common Multiple (LCM) of 19054 and 19072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19054 and 19072. First we will calculate the prime factors of 19054 and 19072.

Prime Factorization of 19054

Prime Factorization of 19072

Now multiplying the highest exponent prime factors to calculate the LCM of 19054 and 19072.

LCM(19054,19072) = 2⁷ × 7¹ × 1361¹ × 149¹
LCM(19054,19072) = 181698944