What is the Least Common Multiple of 29589 and 29603?

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 29589 and 29603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29589 and 29603, than apply into the LCM equation.

GCF(29589,29603) = 7
LCM(29589,29603) = ( 29589 × 29603) / 7
LCM(29589,29603) = 875923167 / 7
LCM(29589,29603) = 125131881

Least Common Multiple (LCM) of 29589 and 29603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29589 and 29603. First we will calculate the prime factors of 29589 and 29603.

Prime Factorization of 29589

Prime Factorization of 29603

Now multiplying the highest exponent prime factors to calculate the LCM of 29589 and 29603.

LCM(29589,29603) = 3¹ × 7¹ × 1409¹ × 4229¹
LCM(29589,29603) = 125131881