What is the Least Common Multiple of 20529 and 20538?

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 20529 and 20538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20529 and 20538, than apply into the LCM equation.

GCF(20529,20538) = 9
LCM(20529,20538) = ( 20529 × 20538) / 9
LCM(20529,20538) = 421624602 / 9
LCM(20529,20538) = 46847178

Least Common Multiple (LCM) of 20529 and 20538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20529 and 20538. First we will calculate the prime factors of 20529 and 20538.

Prime Factorization of 20529

Prime Factorization of 20538

Now multiplying the highest exponent prime factors to calculate the LCM of 20529 and 20538.

LCM(20529,20538) = 3² × 2281¹ × 2¹ × 7¹ × 163¹
LCM(20529,20538) = 46847178