What is the Least Common Multiple of 20538 and 20544?

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 20544 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 20544, than apply into the LCM equation.

GCF(20538,20544) = 6
LCM(20538,20544) = ( 20538 × 20544) / 6
LCM(20538,20544) = 421932672 / 6
LCM(20538,20544) = 70322112

Least Common Multiple (LCM) of 20538 and 20544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20538 and 20544. First we will calculate the prime factors of 20538 and 20544.

Prime Factorization of 20538

Prime Factorization of 20544

Now multiplying the highest exponent prime factors to calculate the LCM of 20538 and 20544.

LCM(20538,20544) = 2⁶ × 3² × 7¹ × 163¹ × 107¹
LCM(20538,20544) = 70322112