What is the Least Common Multiple of 20520 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 20520 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 20520 and 20538, than apply into the LCM equation.

GCF(20520,20538) = 18
LCM(20520,20538) = ( 20520 × 20538) / 18
LCM(20520,20538) = 421439760 / 18
LCM(20520,20538) = 23413320

Least Common Multiple (LCM) of 20520 and 20538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20520 and 20538. First we will calculate the prime factors of 20520 and 20538.

Prime Factorization of 20520

Prime Factorization of 20538

Now multiplying the highest exponent prime factors to calculate the LCM of 20520 and 20538.

LCM(20520,20538) = 2³ × 3³ × 5¹ × 19¹ × 7¹ × 163¹
LCM(20520,20538) = 23413320