What is the Least Common Multiple of 20550 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 20550 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 20550 and 20557, than apply into the LCM equation.

GCF(20550,20557) = 1
LCM(20550,20557) = ( 20550 × 20557) / 1
LCM(20550,20557) = 422446350 / 1
LCM(20550,20557) = 422446350

Least Common Multiple (LCM) of 20550 and 20557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20550 and 20557. First we will calculate the prime factors of 20550 and 20557.

Prime Factorization of 20550

Prime Factorization of 20557

Now multiplying the highest exponent prime factors to calculate the LCM of 20550 and 20557.

LCM(20550,20557) = 2¹ × 3¹ × 5² × 137¹ × 61¹ × 337¹
LCM(20550,20557) = 422446350