Least Common Multiple of 7760 and 7764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7760 and 7764 the smallest integer that is 15062160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7760 and 7764 is 15062160.

LCM(7760,7764) = 15062160

LCM of 7760 and 7764

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

LCM of:
and

Least Common Multiple of 7760 and 7764

LCM of 7760 and 7764 is 15062160

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7764. First we will calculate the prime factors of 7760 and 7764.

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

Prime Factorization of 7764


2 7764
2 3882
3 1941
647 647
1

Prime factors of 7764 are 2, 3,647. Prime factorization of 7764 in exponential form is:

7764 = 22×31×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7764.

LCM(7760,7764) = 24×31×51×971×6471
LCM(7760,7764) = 15062160

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

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764

Least Common Multiple of 7760 and 7764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7760 and 7764, than apply into the LCM equation.

GCF(7760,7764) = 4
LCM(7760,7764) = ( 7760 × 7764) / 4
LCM(7760,7764) = 60248640 / 4
LCM(7760,7764) = 15062160

Properties of LCM 7760 and 7764

(i) The LCM of 7764 and 7760 is associative

LCM of 7760 and 7764 = LCM of 7764 and 7760

Related Least Common Multiples of 7760

Related Least Common Multiples of 7764

Frequently Asked Questions on LCM of 7760 and 7764

1. What is the LCM of 7760 and 7764?

Answer: LCM of 7760 and 7764 is 15062160.

2. 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.

3. What are the Factors of 7764?

Answer: Factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764. There are 12 integers that are factors of 7764. The greatest factor of 7764 is 7764.

4. How to Find the LCM of 7760 and 7764?

Answer:

Least Common Multiple of 7760 and 7764 = 15062160

Step 1: Find the prime factorization of 7760

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

Step 2: Find the prime factorization of 7764

7764 = 2 x 2 x 3 x 647

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

LCM = 15062160 = 2 x 2 x 2 x 2 x 3 x 5 x 97 x 647

Step 4: Therefore, the least common multiple of 7760 and 7764 is 15062160.