Least Common Multiple of 7755 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 7755 and 7760 the smallest integer that is 12035760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7755 and 7760 is 12035760.

LCM(7755,7760) = 12035760

LCM of 7755 and 7760

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

LCM of:
and

Least Common Multiple of 7755 and 7760

LCM of 7755 and 7760 is 12035760

Least common multiple can be found by multiplying the highest exponent prime factors of 7755 and 7760. First we will calculate the prime factors of 7755 and 7760.

Prime Factorization of 7755


3 7755
5 2585
11 517
47 47
1

Prime factors of 7755 are 3, 5, 11,47. Prime factorization of 7755 in exponential form is:

7755 = 31×51×111×471

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 7755 and 7760.

LCM(7755,7760) = 24×31×51×111×471×971
LCM(7755,7760) = 12035760

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755

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 7755 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 7755 and 7760, than apply into the LCM equation.

GCF(7755,7760) = 5
LCM(7755,7760) = ( 7755 × 7760) / 5
LCM(7755,7760) = 60178800 / 5
LCM(7755,7760) = 12035760

Properties of LCM 7755 and 7760

(i) The LCM of 7760 and 7755 is associative

LCM of 7755 and 7760 = LCM of 7760 and 7755

Related Least Common Multiples of 7755

Related Least Common Multiples of 7760

Frequently Asked Questions on LCM of 7755 and 7760

1. What is the LCM of 7755 and 7760?

Answer: LCM of 7755 and 7760 is 12035760.

2. What are the Factors of 7755?

Answer: Factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755. There are 16 integers that are factors of 7755. The greatest factor of 7755 is 7755.

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 7755 and 7760?

Answer:

Least Common Multiple of 7755 and 7760 = 12035760

Step 1: Find the prime factorization of 7755

7755 = 3 x 5 x 11 x 47

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 = 12035760 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 47 x 97

Step 4: Therefore, the least common multiple of 7755 and 7760 is 12035760.