Least Common Multiple of 7796 and 7801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7796 and 7801 the smallest integer that is 60816596 that is divisible by both numbers.

Least Common Multiple (LCM) of 7796 and 7801 is 60816596.

LCM(7796,7801) = 60816596

LCM of 7796 and 7801

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

LCM of:
and

Least Common Multiple of 7796 and 7801

LCM of 7796 and 7801 is 60816596

Least common multiple can be found by multiplying the highest exponent prime factors of 7796 and 7801. First we will calculate the prime factors of 7796 and 7801.

Prime Factorization of 7796


2 7796
2 3898
1949 1949
1

Prime factors of 7796 are 2,1949. Prime factorization of 7796 in exponential form is:

7796 = 22×19491

Prime Factorization of 7801


29 7801
269 269
1

Prime factors of 7801 are 29,269. Prime factorization of 7801 in exponential form is:

7801 = 291×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 7796 and 7801.

LCM(7796,7801) = 22×291×2691×19491
LCM(7796,7801) = 60816596

Factors of 7796

List of positive integer factors of 7796 that divides 7796 without a remainder.

1, 2, 4, 1949, 3898, 7796

Factors of 7801

List of positive integer factors of 7801 that divides 7801 without a remainder.

1, 29, 269, 7801

Least Common Multiple of 7796 and 7801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7796 and 7801, than apply into the LCM equation.

GCF(7796,7801) = 1
LCM(7796,7801) = ( 7796 × 7801) / 1
LCM(7796,7801) = 60816596 / 1
LCM(7796,7801) = 60816596

Properties of LCM 7796 and 7801

(i) The LCM of 7801 and 7796 is associative

LCM of 7796 and 7801 = LCM of 7801 and 7796

Related Least Common Multiples of 7796

Related Least Common Multiples of 7801

Frequently Asked Questions on LCM of 7796 and 7801

1. What is the LCM of 7796 and 7801?

Answer: LCM of 7796 and 7801 is 60816596.

2. What are the Factors of 7796?

Answer: Factors of 7796 are 1, 2, 4, 1949, 3898, 7796. There are 6 integers that are factors of 7796. The greatest factor of 7796 is 7796.

3. What are the Factors of 7801?

Answer: Factors of 7801 are 1, 29, 269, 7801. There are 4 integers that are factors of 7801. The greatest factor of 7801 is 7801.

4. How to Find the LCM of 7796 and 7801?

Answer:

Least Common Multiple of 7796 and 7801 = 60816596

Step 1: Find the prime factorization of 7796

7796 = 2 x 2 x 1949

Step 2: Find the prime factorization of 7801

7801 = 29 x 269

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

LCM = 60816596 = 2 x 2 x 29 x 269 x 1949

Step 4: Therefore, the least common multiple of 7796 and 7801 is 60816596.