What is the Least Common Multiple of 19588 and 19592?

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 19588 and 19592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19588 and 19592, than apply into the LCM equation.

GCF(19588,19592) = 4
LCM(19588,19592) = ( 19588 × 19592) / 4
LCM(19588,19592) = 383768096 / 4
LCM(19588,19592) = 95942024

Least Common Multiple (LCM) of 19588 and 19592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19588 and 19592. First we will calculate the prime factors of 19588 and 19592.

Prime Factorization of 19588

Prime Factorization of 19592

Now multiplying the highest exponent prime factors to calculate the LCM of 19588 and 19592.

LCM(19588,19592) = 2³ × 59¹ × 83¹ × 31¹ × 79¹
LCM(19588,19592) = 95942024