Least Common Multiple of 7817 and 7820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7817 and 7820 the smallest integer that is 61128940 that is divisible by both numbers.

Least Common Multiple (LCM) of 7817 and 7820 is 61128940.

LCM(7817,7820) = 61128940

LCM of 7817 and 7820

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

LCM of:
and

Least Common Multiple of 7817 and 7820

LCM of 7817 and 7820 is 61128940

Least common multiple can be found by multiplying the highest exponent prime factors of 7817 and 7820. First we will calculate the prime factors of 7817 and 7820.

Prime Factorization of 7817


7817 7817
1

Prime factors of 7817 are 7817. Prime factorization of 7817 in exponential form is:

7817 = 78171

Prime Factorization of 7820


2 7820
2 3910
5 1955
17 391
23 23
1

Prime factors of 7820 are 2, 5, 17,23. Prime factorization of 7820 in exponential form is:

7820 = 22×51×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7817 and 7820.

LCM(7817,7820) = 22×51×171×231×78171
LCM(7817,7820) = 61128940

Factors of 7817

List of positive integer factors of 7817 that divides 7817 without a remainder.

1, 7817

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820

Least Common Multiple of 7817 and 7820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7817 and 7820, than apply into the LCM equation.

GCF(7817,7820) = 1
LCM(7817,7820) = ( 7817 × 7820) / 1
LCM(7817,7820) = 61128940 / 1
LCM(7817,7820) = 61128940

Properties of LCM 7817 and 7820

(i) The LCM of 7820 and 7817 is associative

LCM of 7817 and 7820 = LCM of 7820 and 7817

Related Least Common Multiples of 7817

Related Least Common Multiples of 7820

Frequently Asked Questions on LCM of 7817 and 7820

1. What is the LCM of 7817 and 7820?

Answer: LCM of 7817 and 7820 is 61128940.

2. What are the Factors of 7817?

Answer: Factors of 7817 are 1, 7817. There are 2 integers that are factors of 7817. The greatest factor of 7817 is 7817.

3. What are the Factors of 7820?

Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.

4. How to Find the LCM of 7817 and 7820?

Answer:

Least Common Multiple of 7817 and 7820 = 61128940

Step 1: Find the prime factorization of 7817

7817 = 7817

Step 2: Find the prime factorization of 7820

7820 = 2 x 2 x 5 x 17 x 23

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

LCM = 61128940 = 2 x 2 x 5 x 17 x 23 x 7817

Step 4: Therefore, the least common multiple of 7817 and 7820 is 61128940.