Least Common Multiple of 7809 and 7814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7809 and 7814 the smallest integer that is 61019526 that is divisible by both numbers.

Least Common Multiple (LCM) of 7809 and 7814 is 61019526.

LCM(7809,7814) = 61019526

LCM of 7809 and 7814

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

LCM of:
and

Least Common Multiple of 7809 and 7814

LCM of 7809 and 7814 is 61019526

Least common multiple can be found by multiplying the highest exponent prime factors of 7809 and 7814. First we will calculate the prime factors of 7809 and 7814.

Prime Factorization of 7809


3 7809
19 2603
137 137
1

Prime factors of 7809 are 3, 19,137. Prime factorization of 7809 in exponential form is:

7809 = 31×191×1371

Prime Factorization of 7814


2 7814
3907 3907
1

Prime factors of 7814 are 2,3907. Prime factorization of 7814 in exponential form is:

7814 = 21×39071

Now multiplying the highest exponent prime factors to calculate the LCM of 7809 and 7814.

LCM(7809,7814) = 21×31×191×1371×39071
LCM(7809,7814) = 61019526

Factors of 7809

List of positive integer factors of 7809 that divides 7809 without a remainder.

1, 3, 19, 57, 137, 411, 2603, 7809

Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1, 2, 3907, 7814

Least Common Multiple of 7809 and 7814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7809 and 7814, than apply into the LCM equation.

GCF(7809,7814) = 1
LCM(7809,7814) = ( 7809 × 7814) / 1
LCM(7809,7814) = 61019526 / 1
LCM(7809,7814) = 61019526

Properties of LCM 7809 and 7814

(i) The LCM of 7814 and 7809 is associative

LCM of 7809 and 7814 = LCM of 7814 and 7809

Related Least Common Multiples of 7809

Related Least Common Multiples of 7814

Frequently Asked Questions on LCM of 7809 and 7814

1. What is the LCM of 7809 and 7814?

Answer: LCM of 7809 and 7814 is 61019526.

2. What are the Factors of 7809?

Answer: Factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809. There are 8 integers that are factors of 7809. The greatest factor of 7809 is 7809.

3. What are the Factors of 7814?

Answer: Factors of 7814 are 1, 2, 3907, 7814. There are 4 integers that are factors of 7814. The greatest factor of 7814 is 7814.

4. How to Find the LCM of 7809 and 7814?

Answer:

Least Common Multiple of 7809 and 7814 = 61019526

Step 1: Find the prime factorization of 7809

7809 = 3 x 19 x 137

Step 2: Find the prime factorization of 7814

7814 = 2 x 3907

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

LCM = 61019526 = 2 x 3 x 19 x 137 x 3907

Step 4: Therefore, the least common multiple of 7809 and 7814 is 61019526.