Least Common Multiple of 7807 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 7807 and 7814 the smallest integer that is 61003898 that is divisible by both numbers.

Least Common Multiple (LCM) of 7807 and 7814 is 61003898.

LCM(7807,7814) = 61003898

LCM of 7807 and 7814

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

LCM of:
and

Least Common Multiple of 7807 and 7814

LCM of 7807 and 7814 is 61003898

Least common multiple can be found by multiplying the highest exponent prime factors of 7807 and 7814. First we will calculate the prime factors of 7807 and 7814.

Prime Factorization of 7807


37 7807
211 211
1

Prime factors of 7807 are 37,211. Prime factorization of 7807 in exponential form is:

7807 = 371×2111

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 7807 and 7814.

LCM(7807,7814) = 21×371×2111×39071
LCM(7807,7814) = 61003898

Factors of 7807

List of positive integer factors of 7807 that divides 7807 without a remainder.

1, 37, 211, 7807

Factors of 7814

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

1, 2, 3907, 7814

Least Common Multiple of 7807 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 7807 and 7814, than apply into the LCM equation.

GCF(7807,7814) = 1
LCM(7807,7814) = ( 7807 × 7814) / 1
LCM(7807,7814) = 61003898 / 1
LCM(7807,7814) = 61003898

Properties of LCM 7807 and 7814

(i) The LCM of 7814 and 7807 is associative

LCM of 7807 and 7814 = LCM of 7814 and 7807

Related Least Common Multiples of 7807

Related Least Common Multiples of 7814

Frequently Asked Questions on LCM of 7807 and 7814

1. What is the LCM of 7807 and 7814?

Answer: LCM of 7807 and 7814 is 61003898.

2. What are the Factors of 7807?

Answer: Factors of 7807 are 1, 37, 211, 7807. There are 4 integers that are factors of 7807. The greatest factor of 7807 is 7807.

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 7807 and 7814?

Answer:

Least Common Multiple of 7807 and 7814 = 61003898

Step 1: Find the prime factorization of 7807

7807 = 37 x 211

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 = 61003898 = 2 x 37 x 211 x 3907

Step 4: Therefore, the least common multiple of 7807 and 7814 is 61003898.