Least Common Multiple of 590 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 590 and 597 the smallest integer that is 352230 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 597 is 352230.

LCM(590,597) = 352230

LCM of 590 and 597

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

LCM of:
and

Least Common Multiple of 590 and 597

LCM of 590 and 597 is 352230

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 597. First we will calculate the prime factors of 590 and 597.

Prime Factorization of 590


2 590
5 295
59 59
1

Prime factors of 590 are 2, 5,59. Prime factorization of 590 in exponential form is:

590 = 21×51×591

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 590 and 597.

LCM(590,597) = 21×31×51×591×1991
LCM(590,597) = 352230

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Factors of 597

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

1, 3, 199, 597

Least Common Multiple of 590 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 590 and 597, than apply into the LCM equation.

GCF(590,597) = 1
LCM(590,597) = ( 590 × 597) / 1
LCM(590,597) = 352230 / 1
LCM(590,597) = 352230

Properties of LCM 590 and 597

(i) The LCM of 597 and 590 is associative

LCM of 590 and 597 = LCM of 597 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 597

Frequently Asked Questions on LCM of 590 and 597

1. What is the LCM of 590 and 597?

Answer: LCM of 590 and 597 is 352230.

2. What are the Factors of 590?

Answer: Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590. There are 8 integers that are factors of 590. The greatest factor of 590 is 590.

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 590 and 597?

Answer:

Least Common Multiple of 590 and 597 = 352230

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

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 = 352230 = 2 x 3 x 5 x 59 x 199

Step 4: Therefore, the least common multiple of 590 and 597 is 352230.