What is the Least Common Multiple of 20538 and 20550?

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 20538 and 20550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20538 and 20550, than apply into the LCM equation.

GCF(20538,20550) = 6
LCM(20538,20550) = ( 20538 × 20550) / 6
LCM(20538,20550) = 422055900 / 6
LCM(20538,20550) = 70342650

Least Common Multiple (LCM) of 20538 and 20550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20538 and 20550. First we will calculate the prime factors of 20538 and 20550.

Prime Factorization of 20538

Prime Factorization of 20550

Now multiplying the highest exponent prime factors to calculate the LCM of 20538 and 20550.

LCM(20538,20550) = 2¹ × 3² × 7¹ × 163¹ × 5² × 137¹
LCM(20538,20550) = 70342650