What is the Least Common Multiple of 20916 and 20931?

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 20916 and 20931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20916 and 20931, than apply into the LCM equation.

GCF(20916,20931) = 3
LCM(20916,20931) = ( 20916 × 20931) / 3
LCM(20916,20931) = 437792796 / 3
LCM(20916,20931) = 145930932

Least Common Multiple (LCM) of 20916 and 20931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20916 and 20931. First we will calculate the prime factors of 20916 and 20931.

Prime Factorization of 20916

Prime Factorization of 20931

Now multiplying the highest exponent prime factors to calculate the LCM of 20916 and 20931.

LCM(20916,20931) = 2² × 3² × 7¹ × 83¹ × 6977¹
LCM(20916,20931) = 145930932