Least Common Multiple of 7756 and 7760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7756 and 7760 the smallest integer that is 15046640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7756 and 7760 is 15046640.

LCM(7756,7760) = 15046640

LCM of 7756 and 7760

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

LCM of:
and

Least Common Multiple of 7756 and 7760

LCM of 7756 and 7760 is 15046640

Least common multiple can be found by multiplying the highest exponent prime factors of 7756 and 7760. First we will calculate the prime factors of 7756 and 7760.

Prime Factorization of 7756


2 7756
2 3878
7 1939
277 277
1

Prime factors of 7756 are 2, 7,277. Prime factorization of 7756 in exponential form is:

7756 = 22×71×2771

Prime Factorization of 7760


2 7760
2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 7760 are 2, 5,97. Prime factorization of 7760 in exponential form is:

7760 = 24×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7756 and 7760.

LCM(7756,7760) = 24×51×71×971×2771
LCM(7756,7760) = 15046640

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756

Factors of 7760

List of positive integer factors of 7760 that divides 7760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760

Least Common Multiple of 7756 and 7760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7756 and 7760, than apply into the LCM equation.

GCF(7756,7760) = 4
LCM(7756,7760) = ( 7756 × 7760) / 4
LCM(7756,7760) = 60186560 / 4
LCM(7756,7760) = 15046640

Properties of LCM 7756 and 7760

(i) The LCM of 7760 and 7756 is associative

LCM of 7756 and 7760 = LCM of 7760 and 7756

Related Least Common Multiples of 7756

Related Least Common Multiples of 7760

Frequently Asked Questions on LCM of 7756 and 7760

1. What is the LCM of 7756 and 7760?

Answer: LCM of 7756 and 7760 is 15046640.

2. What are the Factors of 7756?

Answer: Factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756. There are 12 integers that are factors of 7756. The greatest factor of 7756 is 7756.

3. What are the Factors of 7760?

Answer: Factors of 7760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760. There are 20 integers that are factors of 7760. The greatest factor of 7760 is 7760.

4. How to Find the LCM of 7756 and 7760?

Answer:

Least Common Multiple of 7756 and 7760 = 15046640

Step 1: Find the prime factorization of 7756

7756 = 2 x 2 x 7 x 277

Step 2: Find the prime factorization of 7760

7760 = 2 x 2 x 2 x 2 x 5 x 97

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

LCM = 15046640 = 2 x 2 x 2 x 2 x 5 x 7 x 97 x 277

Step 4: Therefore, the least common multiple of 7756 and 7760 is 15046640.