Least Common Multiple of 7802 and 7808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7802 and 7808 the smallest integer that is 30459008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7802 and 7808 is 30459008.

LCM(7802,7808) = 30459008

LCM of 7802 and 7808

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

LCM of:
and

Least Common Multiple of 7802 and 7808

LCM of 7802 and 7808 is 30459008

Least common multiple can be found by multiplying the highest exponent prime factors of 7802 and 7808. First we will calculate the prime factors of 7802 and 7808.

Prime Factorization of 7802


2 7802
47 3901
83 83
1

Prime factors of 7802 are 2, 47,83. Prime factorization of 7802 in exponential form is:

7802 = 21×471×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7802 and 7808.

LCM(7802,7808) = 27×471×611×831
LCM(7802,7808) = 30459008

Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1, 2, 47, 83, 94, 166, 3901, 7802

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

Least Common Multiple of 7802 and 7808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7802 and 7808, than apply into the LCM equation.

GCF(7802,7808) = 2
LCM(7802,7808) = ( 7802 × 7808) / 2
LCM(7802,7808) = 60918016 / 2
LCM(7802,7808) = 30459008

Properties of LCM 7802 and 7808

(i) The LCM of 7808 and 7802 is associative

LCM of 7802 and 7808 = LCM of 7808 and 7802

Related Least Common Multiples of 7802

Related Least Common Multiples of 7808

Frequently Asked Questions on LCM of 7802 and 7808

1. What is the LCM of 7802 and 7808?

Answer: LCM of 7802 and 7808 is 30459008.

2. What are the Factors of 7802?

Answer: Factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802. There are 8 integers that are factors of 7802. The greatest factor of 7802 is 7802.

3. 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.

4. How to Find the LCM of 7802 and 7808?

Answer:

Least Common Multiple of 7802 and 7808 = 30459008

Step 1: Find the prime factorization of 7802

7802 = 2 x 47 x 83

Step 2: Find the prime factorization of 7808

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

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

LCM = 30459008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 47 x 61 x 83

Step 4: Therefore, the least common multiple of 7802 and 7808 is 30459008.