What is the Least Common Multiple of 20292 and 20311?

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 20292 and 20311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20292 and 20311, than apply into the LCM equation.

GCF(20292,20311) = 19
LCM(20292,20311) = ( 20292 × 20311) / 19
LCM(20292,20311) = 412150812 / 19
LCM(20292,20311) = 21692148

Least Common Multiple (LCM) of 20292 and 20311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20292 and 20311. First we will calculate the prime factors of 20292 and 20311.

Prime Factorization of 20292

Prime Factorization of 20311

Now multiplying the highest exponent prime factors to calculate the LCM of 20292 and 20311.

LCM(20292,20311) = 2² × 3¹ × 19¹ × 89¹ × 1069¹
LCM(20292,20311) = 21692148