Least Common Multiple of 589 and 597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 589 and 597 the smallest integer that is 351633 that is divisible by both numbers.

Least Common Multiple (LCM) of 589 and 597 is 351633.

LCM(589,597) = 351633

LCM of 589 and 597

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 589 and 597

LCM of 589 and 597 is 351633

Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 597. First we will calculate the prime factors of 589 and 597.

Prime Factorization of 589


19 589
31 31
1

Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:

589 = 191×311

Prime Factorization of 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 597.

LCM(589,597) = 31×191×311×1991
LCM(589,597) = 351633

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Least Common Multiple of 589 and 597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 589 and 597, than apply into the LCM equation.

GCF(589,597) = 1
LCM(589,597) = ( 589 × 597) / 1
LCM(589,597) = 351633 / 1
LCM(589,597) = 351633

Properties of LCM 589 and 597

(i) The LCM of 597 and 589 is associative

LCM of 589 and 597 = LCM of 597 and 589

Frequently Asked Questions on LCM of 589 and 597

1. What is the LCM of 589 and 597?

Answer: LCM of 589 and 597 is 351633.

2. What are the Factors of 589?

Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.

3. What are the Factors of 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

4. How to Find the LCM of 589 and 597?

Answer:

Least Common Multiple of 589 and 597 = 351633

Step 1: Find the prime factorization of 589

589 = 19 x 31

Step 2: Find the prime factorization of 597

597 = 3 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 351633 = 3 x 19 x 31 x 199

Step 4: Therefore, the least common multiple of 589 and 597 is 351633.