What is the Least Common Multiple of 20488 and 20504?

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 20488 and 20504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20488 and 20504, than apply into the LCM equation.

GCF(20488,20504) = 8
LCM(20488,20504) = ( 20488 × 20504) / 8
LCM(20488,20504) = 420085952 / 8
LCM(20488,20504) = 52510744

Least Common Multiple (LCM) of 20488 and 20504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20488 and 20504. First we will calculate the prime factors of 20488 and 20504.

Prime Factorization of 20488

Prime Factorization of 20504

Now multiplying the highest exponent prime factors to calculate the LCM of 20488 and 20504.

LCM(20488,20504) = 2³ × 13¹ × 197¹ × 11¹ × 233¹
LCM(20488,20504) = 52510744