What is the Least Common Multiple of 19224 and 19232?

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 19224 and 19232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19224 and 19232, than apply into the LCM equation.

GCF(19224,19232) = 8
LCM(19224,19232) = ( 19224 × 19232) / 8
LCM(19224,19232) = 369715968 / 8
LCM(19224,19232) = 46214496

Least Common Multiple (LCM) of 19224 and 19232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19224 and 19232. First we will calculate the prime factors of 19224 and 19232.

Prime Factorization of 19224

Prime Factorization of 19232

Now multiplying the highest exponent prime factors to calculate the LCM of 19224 and 19232.

LCM(19224,19232) = 2⁵ × 3³ × 89¹ × 601¹
LCM(19224,19232) = 46214496