Least Common Multiple of 5820 and 5826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5820 and 5826 the smallest integer that is 5651220 that is divisible by both numbers.

Least Common Multiple (LCM) of 5820 and 5826 is 5651220.

LCM(5820,5826) = 5651220

LCM of 5820 and 5826

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

LCM of:
and

Least Common Multiple of 5820 and 5826

LCM of 5820 and 5826 is 5651220

Least common multiple can be found by multiplying the highest exponent prime factors of 5820 and 5826. First we will calculate the prime factors of 5820 and 5826.

Prime Factorization of 5820


2 5820
2 2910
3 1455
5 485
97 97
1

Prime factors of 5820 are 2, 3, 5,97. Prime factorization of 5820 in exponential form is:

5820 = 22×31×51×971

Prime Factorization of 5826


2 5826
3 2913
971 971
1

Prime factors of 5826 are 2, 3,971. Prime factorization of 5826 in exponential form is:

5826 = 21×31×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 5820 and 5826.

LCM(5820,5826) = 22×31×51×971×9711
LCM(5820,5826) = 5651220

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820

Factors of 5826

List of positive integer factors of 5826 that divides 5826 without a remainder.

1, 2, 3, 6, 971, 1942, 2913, 5826

Least Common Multiple of 5820 and 5826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5820 and 5826, than apply into the LCM equation.

GCF(5820,5826) = 6
LCM(5820,5826) = ( 5820 × 5826) / 6
LCM(5820,5826) = 33907320 / 6
LCM(5820,5826) = 5651220

Properties of LCM 5820 and 5826

(i) The LCM of 5826 and 5820 is associative

LCM of 5820 and 5826 = LCM of 5826 and 5820

Related Least Common Multiples of 5820

Related Least Common Multiples of 5826

Frequently Asked Questions on LCM of 5820 and 5826

1. What is the LCM of 5820 and 5826?

Answer: LCM of 5820 and 5826 is 5651220.

2. What are the Factors of 5820?

Answer: Factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820. There are 24 integers that are factors of 5820. The greatest factor of 5820 is 5820.

3. What are the Factors of 5826?

Answer: Factors of 5826 are 1, 2, 3, 6, 971, 1942, 2913, 5826. There are 8 integers that are factors of 5826. The greatest factor of 5826 is 5826.

4. How to Find the LCM of 5820 and 5826?

Answer:

Least Common Multiple of 5820 and 5826 = 5651220

Step 1: Find the prime factorization of 5820

5820 = 2 x 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 5826

5826 = 2 x 3 x 971

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

LCM = 5651220 = 2 x 2 x 3 x 5 x 97 x 971

Step 4: Therefore, the least common multiple of 5820 and 5826 is 5651220.