What is the Least Common Multiple of 20928 and 20948?

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 20928 and 20948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20928 and 20948, than apply into the LCM equation.

GCF(20928,20948) = 4
LCM(20928,20948) = ( 20928 × 20948) / 4
LCM(20928,20948) = 438399744 / 4
LCM(20928,20948) = 109599936

Least Common Multiple (LCM) of 20928 and 20948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20928 and 20948. First we will calculate the prime factors of 20928 and 20948.

Prime Factorization of 20928

Prime Factorization of 20948

Now multiplying the highest exponent prime factors to calculate the LCM of 20928 and 20948.

LCM(20928,20948) = 2⁶ × 3¹ × 109¹ × 5237¹
LCM(20928,20948) = 109599936