Least Common Multiple of 7808 and 7813

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 7813 the smallest integer that is 61003904 that is divisible by both numbers.

Least Common Multiple (LCM) of 7808 and 7813 is 61003904.

LCM(7808,7813) = 61003904

LCM of 7808 and 7813

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

LCM of:
and

Least Common Multiple of 7808 and 7813

LCM of 7808 and 7813 is 61003904

Least common multiple can be found by multiplying the highest exponent prime factors of 7808 and 7813. First we will calculate the prime factors of 7808 and 7813.

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 7813


13 7813
601 601
1

Prime factors of 7813 are 13,601. Prime factorization of 7813 in exponential form is:

7813 = 131×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 7808 and 7813.

LCM(7808,7813) = 27×131×611×6011
LCM(7808,7813) = 61003904

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 7813

List of positive integer factors of 7813 that divides 7813 without a remainder.

1, 13, 601, 7813

Least Common Multiple of 7808 and 7813 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 7813, than apply into the LCM equation.

GCF(7808,7813) = 1
LCM(7808,7813) = ( 7808 × 7813) / 1
LCM(7808,7813) = 61003904 / 1
LCM(7808,7813) = 61003904

Properties of LCM 7808 and 7813

(i) The LCM of 7813 and 7808 is associative

LCM of 7808 and 7813 = LCM of 7813 and 7808

Related Least Common Multiples of 7808

Related Least Common Multiples of 7813

Frequently Asked Questions on LCM of 7808 and 7813

1. What is the LCM of 7808 and 7813?

Answer: LCM of 7808 and 7813 is 61003904.

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 7813?

Answer: Factors of 7813 are 1, 13, 601, 7813. There are 4 integers that are factors of 7813. The greatest factor of 7813 is 7813.

4. How to Find the LCM of 7808 and 7813?

Answer:

Least Common Multiple of 7808 and 7813 = 61003904

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 7813

7813 = 13 x 601

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

LCM = 61003904 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 61 x 601

Step 4: Therefore, the least common multiple of 7808 and 7813 is 61003904.