What is the Least Common Multiple of 20484 and 20492?

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 20484 and 20492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20484 and 20492, than apply into the LCM equation.

GCF(20484,20492) = 4
LCM(20484,20492) = ( 20484 × 20492) / 4
LCM(20484,20492) = 419758128 / 4
LCM(20484,20492) = 104939532

Least Common Multiple (LCM) of 20484 and 20492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20484 and 20492. First we will calculate the prime factors of 20484 and 20492.

Prime Factorization of 20484

Prime Factorization of 20492

Now multiplying the highest exponent prime factors to calculate the LCM of 20484 and 20492.

LCM(20484,20492) = 2² × 3² × 569¹ × 47¹ × 109¹
LCM(20484,20492) = 104939532