Least Common Multiple of 7802 and 7810

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 7810 the smallest integer that is 30466810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7802 and 7810 is 30466810.

LCM(7802,7810) = 30466810

LCM of 7802 and 7810

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

LCM of:
and

Least Common Multiple of 7802 and 7810

LCM of 7802 and 7810 is 30466810

Least common multiple can be found by multiplying the highest exponent prime factors of 7802 and 7810. First we will calculate the prime factors of 7802 and 7810.

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 7810


2 7810
5 3905
11 781
71 71
1

Prime factors of 7810 are 2, 5, 11,71. Prime factorization of 7810 in exponential form is:

7810 = 21×51×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7802 and 7810.

LCM(7802,7810) = 21×51×111×471×711×831
LCM(7802,7810) = 30466810

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 7810

List of positive integer factors of 7810 that divides 7810 without a remainder.

1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810

Least Common Multiple of 7802 and 7810 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 7810, than apply into the LCM equation.

GCF(7802,7810) = 2
LCM(7802,7810) = ( 7802 × 7810) / 2
LCM(7802,7810) = 60933620 / 2
LCM(7802,7810) = 30466810

Properties of LCM 7802 and 7810

(i) The LCM of 7810 and 7802 is associative

LCM of 7802 and 7810 = LCM of 7810 and 7802

Related Least Common Multiples of 7802

Related Least Common Multiples of 7810

Frequently Asked Questions on LCM of 7802 and 7810

1. What is the LCM of 7802 and 7810?

Answer: LCM of 7802 and 7810 is 30466810.

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 7810?

Answer: Factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810. There are 16 integers that are factors of 7810. The greatest factor of 7810 is 7810.

4. How to Find the LCM of 7802 and 7810?

Answer:

Least Common Multiple of 7802 and 7810 = 30466810

Step 1: Find the prime factorization of 7802

7802 = 2 x 47 x 83

Step 2: Find the prime factorization of 7810

7810 = 2 x 5 x 11 x 71

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

LCM = 30466810 = 2 x 5 x 11 x 47 x 71 x 83

Step 4: Therefore, the least common multiple of 7802 and 7810 is 30466810.