Least Common Multiple of 7760 and 7768

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 7768 the smallest integer that is 7534960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7760 and 7768 is 7534960.

LCM(7760,7768) = 7534960

LCM of 7760 and 7768

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

LCM of:
and

Least Common Multiple of 7760 and 7768

LCM of 7760 and 7768 is 7534960

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7768. First we will calculate the prime factors of 7760 and 7768.

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 7768


2 7768
2 3884
2 1942
971 971
1

Prime factors of 7768 are 2,971. Prime factorization of 7768 in exponential form is:

7768 = 23×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7768.

LCM(7760,7768) = 24×51×971×9711
LCM(7760,7768) = 7534960

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 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1, 2, 4, 8, 971, 1942, 3884, 7768

Least Common Multiple of 7760 and 7768 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 7768, than apply into the LCM equation.

GCF(7760,7768) = 8
LCM(7760,7768) = ( 7760 × 7768) / 8
LCM(7760,7768) = 60279680 / 8
LCM(7760,7768) = 7534960

Properties of LCM 7760 and 7768

(i) The LCM of 7768 and 7760 is associative

LCM of 7760 and 7768 = LCM of 7768 and 7760

Related Least Common Multiples of 7760

Related Least Common Multiples of 7768

Frequently Asked Questions on LCM of 7760 and 7768

1. What is the LCM of 7760 and 7768?

Answer: LCM of 7760 and 7768 is 7534960.

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 7768?

Answer: Factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768. There are 8 integers that are factors of 7768. The greatest factor of 7768 is 7768.

4. How to Find the LCM of 7760 and 7768?

Answer:

Least Common Multiple of 7760 and 7768 = 7534960

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 7768

7768 = 2 x 2 x 2 x 971

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

LCM = 7534960 = 2 x 2 x 2 x 2 x 5 x 97 x 971

Step 4: Therefore, the least common multiple of 7760 and 7768 is 7534960.