What is the Least Common Multiple of 19424 and 19434?

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 19434 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 19434, than apply into the LCM equation.

GCF(19424,19434) = 2
LCM(19424,19434) = ( 19424 × 19434) / 2
LCM(19424,19434) = 377486016 / 2
LCM(19424,19434) = 188743008

Least Common Multiple (LCM) of 19424 and 19434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19424 and 19434. First we will calculate the prime factors of 19424 and 19434.

Prime Factorization of 19424

Prime Factorization of 19434

Now multiplying the highest exponent prime factors to calculate the LCM of 19424 and 19434.

LCM(19424,19434) = 2⁵ × 607¹ × 3¹ × 41¹ × 79¹
LCM(19424,19434) = 188743008