What is the Least Common Multiple of 19224 and 19236?

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 19236 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 19236, than apply into the LCM equation.

GCF(19224,19236) = 12
LCM(19224,19236) = ( 19224 × 19236) / 12
LCM(19224,19236) = 369792864 / 12
LCM(19224,19236) = 30816072

Least Common Multiple (LCM) of 19224 and 19236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19224 and 19236. First we will calculate the prime factors of 19224 and 19236.

Prime Factorization of 19224

Prime Factorization of 19236

Now multiplying the highest exponent prime factors to calculate the LCM of 19224 and 19236.

LCM(19224,19236) = 2³ × 3³ × 89¹ × 7¹ × 229¹
LCM(19224,19236) = 30816072