What is the Least Common Multiple of 20589 and 20607?

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 20589 and 20607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20589 and 20607, than apply into the LCM equation.

GCF(20589,20607) = 3
LCM(20589,20607) = ( 20589 × 20607) / 3
LCM(20589,20607) = 424277523 / 3
LCM(20589,20607) = 141425841

Least Common Multiple (LCM) of 20589 and 20607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20589 and 20607. First we will calculate the prime factors of 20589 and 20607.

Prime Factorization of 20589

Prime Factorization of 20607

Now multiplying the highest exponent prime factors to calculate the LCM of 20589 and 20607.

LCM(20589,20607) = 3¹ × 6863¹ × 6869¹
LCM(20589,20607) = 141425841