What is the Least Common Multiple of 20501 and 20520?

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 20501 and 20520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20501 and 20520, than apply into the LCM equation.

GCF(20501,20520) = 19
LCM(20501,20520) = ( 20501 × 20520) / 19
LCM(20501,20520) = 420680520 / 19
LCM(20501,20520) = 22141080

Least Common Multiple (LCM) of 20501 and 20520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20501 and 20520. First we will calculate the prime factors of 20501 and 20520.

Prime Factorization of 20501

Prime Factorization of 20520

Now multiplying the highest exponent prime factors to calculate the LCM of 20501 and 20520.

LCM(20501,20520) = 13¹ × 19¹ × 83¹ × 2³ × 3³ × 5¹
LCM(20501,20520) = 22141080