What is the Least Common Multiple of 20914 and 20928?

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 20914 and 20928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20914 and 20928, than apply into the LCM equation.

GCF(20914,20928) = 2
LCM(20914,20928) = ( 20914 × 20928) / 2
LCM(20914,20928) = 437688192 / 2
LCM(20914,20928) = 218844096

Least Common Multiple (LCM) of 20914 and 20928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20914 and 20928. First we will calculate the prime factors of 20914 and 20928.

Prime Factorization of 20914

Prime Factorization of 20928

Now multiplying the highest exponent prime factors to calculate the LCM of 20914 and 20928.

LCM(20914,20928) = 2⁶ × 10457¹ × 3¹ × 109¹
LCM(20914,20928) = 218844096