What is the Least Common Multiple of 20644 and 20648?

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 20644 and 20648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20644 and 20648, than apply into the LCM equation.

GCF(20644,20648) = 4
LCM(20644,20648) = ( 20644 × 20648) / 4
LCM(20644,20648) = 426257312 / 4
LCM(20644,20648) = 106564328

Least Common Multiple (LCM) of 20644 and 20648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20644 and 20648. First we will calculate the prime factors of 20644 and 20648.

Prime Factorization of 20644

Prime Factorization of 20648

Now multiplying the highest exponent prime factors to calculate the LCM of 20644 and 20648.

LCM(20644,20648) = 2³ × 13¹ × 397¹ × 29¹ × 89¹
LCM(20644,20648) = 106564328