What is the Least Common Multiple of 20584 and 20601?

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 20584 and 20601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20584 and 20601, than apply into the LCM equation.

GCF(20584,20601) = 1
LCM(20584,20601) = ( 20584 × 20601) / 1
LCM(20584,20601) = 424050984 / 1
LCM(20584,20601) = 424050984

Least Common Multiple (LCM) of 20584 and 20601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20584 and 20601. First we will calculate the prime factors of 20584 and 20601.

Prime Factorization of 20584

Prime Factorization of 20601

Now multiplying the highest exponent prime factors to calculate the LCM of 20584 and 20601.

LCM(20584,20601) = 2³ × 31¹ × 83¹ × 3³ × 7¹ × 109¹
LCM(20584,20601) = 424050984