Least Common Multiple of 7816 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 7816 and 7820 the smallest integer that is 15280280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7816 and 7820 is 15280280.

LCM(7816,7820) = 15280280

LCM of 7816 and 7820

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

LCM of:
and

Least Common Multiple of 7816 and 7820

LCM of 7816 and 7820 is 15280280

Least common multiple can be found by multiplying the highest exponent prime factors of 7816 and 7820. First we will calculate the prime factors of 7816 and 7820.

Prime Factorization of 7816


2 7816
2 3908
2 1954
977 977
1

Prime factors of 7816 are 2,977. Prime factorization of 7816 in exponential form is:

7816 = 23×9771

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 7816 and 7820.

LCM(7816,7820) = 23×51×171×231×9771
LCM(7816,7820) = 15280280

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1, 2, 4, 8, 977, 1954, 3908, 7816

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 7816 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 7816 and 7820, than apply into the LCM equation.

GCF(7816,7820) = 4
LCM(7816,7820) = ( 7816 × 7820) / 4
LCM(7816,7820) = 61121120 / 4
LCM(7816,7820) = 15280280

Properties of LCM 7816 and 7820

(i) The LCM of 7820 and 7816 is associative

LCM of 7816 and 7820 = LCM of 7820 and 7816

Related Least Common Multiples of 7816

Related Least Common Multiples of 7820

Frequently Asked Questions on LCM of 7816 and 7820

1. What is the LCM of 7816 and 7820?

Answer: LCM of 7816 and 7820 is 15280280.

2. What are the Factors of 7816?

Answer: Factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816. There are 8 integers that are factors of 7816. The greatest factor of 7816 is 7816.

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 7816 and 7820?

Answer:

Least Common Multiple of 7816 and 7820 = 15280280

Step 1: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

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 = 15280280 = 2 x 2 x 2 x 5 x 17 x 23 x 977

Step 4: Therefore, the least common multiple of 7816 and 7820 is 15280280.