Least Common Multiple of 7803 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 7803 and 7810 the smallest integer that is 60941430 that is divisible by both numbers.

Least Common Multiple (LCM) of 7803 and 7810 is 60941430.

LCM(7803,7810) = 60941430

LCM of 7803 and 7810

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

LCM of:
and

Least Common Multiple of 7803 and 7810

LCM of 7803 and 7810 is 60941430

Least common multiple can be found by multiplying the highest exponent prime factors of 7803 and 7810. First we will calculate the prime factors of 7803 and 7810.

Prime Factorization of 7803


3 7803
3 2601
3 867
17 289
17 17
1

Prime factors of 7803 are 3,17. Prime factorization of 7803 in exponential form is:

7803 = 33×172

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 7803 and 7810.

LCM(7803,7810) = 21×33×51×111×172×711
LCM(7803,7810) = 60941430

Factors of 7803

List of positive integer factors of 7803 that divides 7803 without a remainder.

1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803

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 7803 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 7803 and 7810, than apply into the LCM equation.

GCF(7803,7810) = 1
LCM(7803,7810) = ( 7803 × 7810) / 1
LCM(7803,7810) = 60941430 / 1
LCM(7803,7810) = 60941430

Properties of LCM 7803 and 7810

(i) The LCM of 7810 and 7803 is associative

LCM of 7803 and 7810 = LCM of 7810 and 7803

Related Least Common Multiples of 7803

Related Least Common Multiples of 7810

Frequently Asked Questions on LCM of 7803 and 7810

1. What is the LCM of 7803 and 7810?

Answer: LCM of 7803 and 7810 is 60941430.

2. What are the Factors of 7803?

Answer: Factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803. There are 12 integers that are factors of 7803. The greatest factor of 7803 is 7803.

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 7803 and 7810?

Answer:

Least Common Multiple of 7803 and 7810 = 60941430

Step 1: Find the prime factorization of 7803

7803 = 3 x 3 x 3 x 17 x 17

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 = 60941430 = 2 x 3 x 3 x 3 x 5 x 11 x 17 x 17 x 71

Step 4: Therefore, the least common multiple of 7803 and 7810 is 60941430.