Least Common Multiple of 6590 and 6594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6590 and 6594 the smallest integer that is 21727230 that is divisible by both numbers.

Least Common Multiple (LCM) of 6590 and 6594 is 21727230.

LCM(6590,6594) = 21727230

LCM of 6590 and 6594

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

LCM of:
and

Least Common Multiple of 6590 and 6594

LCM of 6590 and 6594 is 21727230

Least common multiple can be found by multiplying the highest exponent prime factors of 6590 and 6594. First we will calculate the prime factors of 6590 and 6594.

Prime Factorization of 6590


2 6590
5 3295
659 659
1

Prime factors of 6590 are 2, 5,659. Prime factorization of 6590 in exponential form is:

6590 = 21×51×6591

Prime Factorization of 6594


2 6594
3 3297
7 1099
157 157
1

Prime factors of 6594 are 2, 3, 7,157. Prime factorization of 6594 in exponential form is:

6594 = 21×31×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6590 and 6594.

LCM(6590,6594) = 21×31×51×71×1571×6591
LCM(6590,6594) = 21727230

Factors of 6590

List of positive integer factors of 6590 that divides 6590 without a remainder.

1, 2, 5, 10, 659, 1318, 3295, 6590

Factors of 6594

List of positive integer factors of 6594 that divides 6594 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594

Least Common Multiple of 6590 and 6594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6590 and 6594, than apply into the LCM equation.

GCF(6590,6594) = 2
LCM(6590,6594) = ( 6590 × 6594) / 2
LCM(6590,6594) = 43454460 / 2
LCM(6590,6594) = 21727230

Properties of LCM 6590 and 6594

(i) The LCM of 6594 and 6590 is associative

LCM of 6590 and 6594 = LCM of 6594 and 6590

Related Least Common Multiples of 6590

Related Least Common Multiples of 6594

Frequently Asked Questions on LCM of 6590 and 6594

1. What is the LCM of 6590 and 6594?

Answer: LCM of 6590 and 6594 is 21727230.

2. What are the Factors of 6590?

Answer: Factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590. There are 8 integers that are factors of 6590. The greatest factor of 6590 is 6590.

3. What are the Factors of 6594?

Answer: Factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594. There are 16 integers that are factors of 6594. The greatest factor of 6594 is 6594.

4. How to Find the LCM of 6590 and 6594?

Answer:

Least Common Multiple of 6590 and 6594 = 21727230

Step 1: Find the prime factorization of 6590

6590 = 2 x 5 x 659

Step 2: Find the prime factorization of 6594

6594 = 2 x 3 x 7 x 157

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

LCM = 21727230 = 2 x 3 x 5 x 7 x 157 x 659

Step 4: Therefore, the least common multiple of 6590 and 6594 is 21727230.