Least Common Multiple of 7804 and 7811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7804 and 7811 the smallest integer that is 60957044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7804 and 7811 is 60957044.

LCM(7804,7811) = 60957044

LCM of 7804 and 7811

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

LCM of:
and

Least Common Multiple of 7804 and 7811

LCM of 7804 and 7811 is 60957044

Least common multiple can be found by multiplying the highest exponent prime factors of 7804 and 7811. First we will calculate the prime factors of 7804 and 7811.

Prime Factorization of 7804


2 7804
2 3902
1951 1951
1

Prime factors of 7804 are 2,1951. Prime factorization of 7804 in exponential form is:

7804 = 22×19511

Prime Factorization of 7811


73 7811
107 107
1

Prime factors of 7811 are 73,107. Prime factorization of 7811 in exponential form is:

7811 = 731×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7804 and 7811.

LCM(7804,7811) = 22×731×1071×19511
LCM(7804,7811) = 60957044

Factors of 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1, 2, 4, 1951, 3902, 7804

Factors of 7811

List of positive integer factors of 7811 that divides 7811 without a remainder.

1, 73, 107, 7811

Least Common Multiple of 7804 and 7811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7804 and 7811, than apply into the LCM equation.

GCF(7804,7811) = 1
LCM(7804,7811) = ( 7804 × 7811) / 1
LCM(7804,7811) = 60957044 / 1
LCM(7804,7811) = 60957044

Properties of LCM 7804 and 7811

(i) The LCM of 7811 and 7804 is associative

LCM of 7804 and 7811 = LCM of 7811 and 7804

Related Least Common Multiples of 7804

Related Least Common Multiples of 7811

Frequently Asked Questions on LCM of 7804 and 7811

1. What is the LCM of 7804 and 7811?

Answer: LCM of 7804 and 7811 is 60957044.

2. What are the Factors of 7804?

Answer: Factors of 7804 are 1, 2, 4, 1951, 3902, 7804. There are 6 integers that are factors of 7804. The greatest factor of 7804 is 7804.

3. What are the Factors of 7811?

Answer: Factors of 7811 are 1, 73, 107, 7811. There are 4 integers that are factors of 7811. The greatest factor of 7811 is 7811.

4. How to Find the LCM of 7804 and 7811?

Answer:

Least Common Multiple of 7804 and 7811 = 60957044

Step 1: Find the prime factorization of 7804

7804 = 2 x 2 x 1951

Step 2: Find the prime factorization of 7811

7811 = 73 x 107

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

LCM = 60957044 = 2 x 2 x 73 x 107 x 1951

Step 4: Therefore, the least common multiple of 7804 and 7811 is 60957044.