What is the Least Common Multiple of 20569 and 20579?

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 20569 and 20579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20569 and 20579, than apply into the LCM equation.

GCF(20569,20579) = 1
LCM(20569,20579) = ( 20569 × 20579) / 1
LCM(20569,20579) = 423289451 / 1
LCM(20569,20579) = 423289451

Least Common Multiple (LCM) of 20569 and 20579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20569 and 20579. First we will calculate the prime factors of 20569 and 20579.

Prime Factorization of 20569

Prime Factorization of 20579

Now multiplying the highest exponent prime factors to calculate the LCM of 20569 and 20579.

LCM(20569,20579) = 67¹ × 307¹ × 13¹ × 1583¹
LCM(20569,20579) = 423289451