What is the Least Common Multiple of 19874 and 19882?

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 19874 and 19882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19874 and 19882, than apply into the LCM equation.

GCF(19874,19882) = 2
LCM(19874,19882) = ( 19874 × 19882) / 2
LCM(19874,19882) = 395134868 / 2
LCM(19874,19882) = 197567434

Least Common Multiple (LCM) of 19874 and 19882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19874 and 19882. First we will calculate the prime factors of 19874 and 19882.

Prime Factorization of 19874

Prime Factorization of 19882

Now multiplying the highest exponent prime factors to calculate the LCM of 19874 and 19882.

LCM(19874,19882) = 2¹ × 19¹ × 523¹ × 9941¹
LCM(19874,19882) = 197567434