Least Common Multiple of 6554 and 6562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6554 and 6562 the smallest integer that is 21503674 that is divisible by both numbers.

Least Common Multiple (LCM) of 6554 and 6562 is 21503674.

LCM(6554,6562) = 21503674

LCM of 6554 and 6562

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

LCM of:
and

Least Common Multiple of 6554 and 6562

LCM of 6554 and 6562 is 21503674

Least common multiple can be found by multiplying the highest exponent prime factors of 6554 and 6562. First we will calculate the prime factors of 6554 and 6562.

Prime Factorization of 6554


2 6554
29 3277
113 113
1

Prime factors of 6554 are 2, 29,113. Prime factorization of 6554 in exponential form is:

6554 = 21×291×1131

Prime Factorization of 6562


2 6562
17 3281
193 193
1

Prime factors of 6562 are 2, 17,193. Prime factorization of 6562 in exponential form is:

6562 = 21×171×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6554 and 6562.

LCM(6554,6562) = 21×171×291×1131×1931
LCM(6554,6562) = 21503674

Factors of 6554

List of positive integer factors of 6554 that divides 6554 without a remainder.

1, 2, 29, 58, 113, 226, 3277, 6554

Factors of 6562

List of positive integer factors of 6562 that divides 6562 without a remainder.

1, 2, 17, 34, 193, 386, 3281, 6562

Least Common Multiple of 6554 and 6562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6554 and 6562, than apply into the LCM equation.

GCF(6554,6562) = 2
LCM(6554,6562) = ( 6554 × 6562) / 2
LCM(6554,6562) = 43007348 / 2
LCM(6554,6562) = 21503674

Properties of LCM 6554 and 6562

(i) The LCM of 6562 and 6554 is associative

LCM of 6554 and 6562 = LCM of 6562 and 6554

Related Least Common Multiples of 6554

Related Least Common Multiples of 6562

Frequently Asked Questions on LCM of 6554 and 6562

1. What is the LCM of 6554 and 6562?

Answer: LCM of 6554 and 6562 is 21503674.

2. What are the Factors of 6554?

Answer: Factors of 6554 are 1, 2, 29, 58, 113, 226, 3277, 6554. There are 8 integers that are factors of 6554. The greatest factor of 6554 is 6554.

3. What are the Factors of 6562?

Answer: Factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562. There are 8 integers that are factors of 6562. The greatest factor of 6562 is 6562.

4. How to Find the LCM of 6554 and 6562?

Answer:

Least Common Multiple of 6554 and 6562 = 21503674

Step 1: Find the prime factorization of 6554

6554 = 2 x 29 x 113

Step 2: Find the prime factorization of 6562

6562 = 2 x 17 x 193

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

LCM = 21503674 = 2 x 17 x 29 x 113 x 193

Step 4: Therefore, the least common multiple of 6554 and 6562 is 21503674.