What is the Least Common Multiple of 20542 and 20554?

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 20542 and 20554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20542 and 20554, than apply into the LCM equation.

GCF(20542,20554) = 2
LCM(20542,20554) = ( 20542 × 20554) / 2
LCM(20542,20554) = 422220268 / 2
LCM(20542,20554) = 211110134

Least Common Multiple (LCM) of 20542 and 20554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20542 and 20554. First we will calculate the prime factors of 20542 and 20554.

Prime Factorization of 20542

Prime Factorization of 20554

Now multiplying the highest exponent prime factors to calculate the LCM of 20542 and 20554.

LCM(20542,20554) = 2¹ × 10271¹ × 43¹ × 239¹
LCM(20542,20554) = 211110134