What is the Least Common Multiple of 19424 and 19430?

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 19424 and 19430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19424 and 19430, than apply into the LCM equation.

GCF(19424,19430) = 2
LCM(19424,19430) = ( 19424 × 19430) / 2
LCM(19424,19430) = 377408320 / 2
LCM(19424,19430) = 188704160

Least Common Multiple (LCM) of 19424 and 19430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19424 and 19430. First we will calculate the prime factors of 19424 and 19430.

Prime Factorization of 19424

Prime Factorization of 19430

Now multiplying the highest exponent prime factors to calculate the LCM of 19424 and 19430.

LCM(19424,19430) = 2⁵ × 607¹ × 5¹ × 29¹ × 67¹
LCM(19424,19430) = 188704160