What is the Least Common Multiple of 20928 and 20940?

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 20940 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 20940, than apply into the LCM equation.

GCF(20928,20940) = 12
LCM(20928,20940) = ( 20928 × 20940) / 12
LCM(20928,20940) = 438232320 / 12
LCM(20928,20940) = 36519360

Least Common Multiple (LCM) of 20928 and 20940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20928 and 20940. First we will calculate the prime factors of 20928 and 20940.

Prime Factorization of 20928

Prime Factorization of 20940

Now multiplying the highest exponent prime factors to calculate the LCM of 20928 and 20940.

LCM(20928,20940) = 2⁶ × 3¹ × 109¹ × 5¹ × 349¹
LCM(20928,20940) = 36519360