What is the Least Common Multiple of 19080 and 19088?

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 19080 and 19088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19080 and 19088, than apply into the LCM equation.

GCF(19080,19088) = 8
LCM(19080,19088) = ( 19080 × 19088) / 8
LCM(19080,19088) = 364199040 / 8
LCM(19080,19088) = 45524880

Least Common Multiple (LCM) of 19080 and 19088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19080 and 19088. First we will calculate the prime factors of 19080 and 19088.

Prime Factorization of 19080

Prime Factorization of 19088

Now multiplying the highest exponent prime factors to calculate the LCM of 19080 and 19088.

LCM(19080,19088) = 2⁴ × 3² × 5¹ × 53¹ × 1193¹
LCM(19080,19088) = 45524880