What is the Least Common Multiple of 20548 and 20557?

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 20548 and 20557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20548 and 20557, than apply into the LCM equation.

GCF(20548,20557) = 1
LCM(20548,20557) = ( 20548 × 20557) / 1
LCM(20548,20557) = 422405236 / 1
LCM(20548,20557) = 422405236

Least Common Multiple (LCM) of 20548 and 20557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20548 and 20557. First we will calculate the prime factors of 20548 and 20557.

Prime Factorization of 20548

Prime Factorization of 20557

Now multiplying the highest exponent prime factors to calculate the LCM of 20548 and 20557.

LCM(20548,20557) = 2² × 11¹ × 467¹ × 61¹ × 337¹
LCM(20548,20557) = 422405236