What is the Least Common Multiple of 19120 and 19128?

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 19120 and 19128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19120 and 19128, than apply into the LCM equation.

GCF(19120,19128) = 8
LCM(19120,19128) = ( 19120 × 19128) / 8
LCM(19120,19128) = 365727360 / 8
LCM(19120,19128) = 45715920

Least Common Multiple (LCM) of 19120 and 19128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19120 and 19128. First we will calculate the prime factors of 19120 and 19128.

Prime Factorization of 19120

Prime Factorization of 19128

Now multiplying the highest exponent prime factors to calculate the LCM of 19120 and 19128.

LCM(19120,19128) = 2⁴ × 5¹ × 239¹ × 3¹ × 797¹
LCM(19120,19128) = 45715920