Least Common Multiple of 7808 and 7816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7808 and 7816 the smallest integer that is 7628416 that is divisible by both numbers.

Least Common Multiple (LCM) of 7808 and 7816 is 7628416.

LCM(7808,7816) = 7628416

LCM of 7808 and 7816

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

LCM of:
and

Least Common Multiple of 7808 and 7816

LCM of 7808 and 7816 is 7628416

Least common multiple can be found by multiplying the highest exponent prime factors of 7808 and 7816. First we will calculate the prime factors of 7808 and 7816.

Prime Factorization of 7808


2 7808
2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 7808 are 2,61. Prime factorization of 7808 in exponential form is:

7808 = 27×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7808 and 7816.

LCM(7808,7816) = 27×611×9771
LCM(7808,7816) = 7628416

Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808

Factors of 7816

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

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

Least Common Multiple of 7808 and 7816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7808 and 7816, than apply into the LCM equation.

GCF(7808,7816) = 8
LCM(7808,7816) = ( 7808 × 7816) / 8
LCM(7808,7816) = 61027328 / 8
LCM(7808,7816) = 7628416

Properties of LCM 7808 and 7816

(i) The LCM of 7816 and 7808 is associative

LCM of 7808 and 7816 = LCM of 7816 and 7808

Related Least Common Multiples of 7808

Related Least Common Multiples of 7816

Frequently Asked Questions on LCM of 7808 and 7816

1. What is the LCM of 7808 and 7816?

Answer: LCM of 7808 and 7816 is 7628416.

2. What are the Factors of 7808?

Answer: Factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808. There are 16 integers that are factors of 7808. The greatest factor of 7808 is 7808.

3. 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.

4. How to Find the LCM of 7808 and 7816?

Answer:

Least Common Multiple of 7808 and 7816 = 7628416

Step 1: Find the prime factorization of 7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

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

LCM = 7628416 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61 x 977

Step 4: Therefore, the least common multiple of 7808 and 7816 is 7628416.