Least Common Multiple of 7760 and 7767

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 7767 the smallest integer that is 60271920 that is divisible by both numbers.

Least Common Multiple (LCM) of 7760 and 7767 is 60271920.

LCM(7760,7767) = 60271920

LCM of 7760 and 7767

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

LCM of:
and

Least Common Multiple of 7760 and 7767

LCM of 7760 and 7767 is 60271920

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7767. First we will calculate the prime factors of 7760 and 7767.

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 7767


3 7767
3 2589
863 863
1

Prime factors of 7767 are 3,863. Prime factorization of 7767 in exponential form is:

7767 = 32×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7767.

LCM(7760,7767) = 24×32×51×971×8631
LCM(7760,7767) = 60271920

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 7767

List of positive integer factors of 7767 that divides 7767 without a remainder.

1, 3, 9, 863, 2589, 7767

Least Common Multiple of 7760 and 7767 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 7767, than apply into the LCM equation.

GCF(7760,7767) = 1
LCM(7760,7767) = ( 7760 × 7767) / 1
LCM(7760,7767) = 60271920 / 1
LCM(7760,7767) = 60271920

Properties of LCM 7760 and 7767

(i) The LCM of 7767 and 7760 is associative

LCM of 7760 and 7767 = LCM of 7767 and 7760

Related Least Common Multiples of 7760

Related Least Common Multiples of 7767

Frequently Asked Questions on LCM of 7760 and 7767

1. What is the LCM of 7760 and 7767?

Answer: LCM of 7760 and 7767 is 60271920.

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 7767?

Answer: Factors of 7767 are 1, 3, 9, 863, 2589, 7767. There are 6 integers that are factors of 7767. The greatest factor of 7767 is 7767.

4. How to Find the LCM of 7760 and 7767?

Answer:

Least Common Multiple of 7760 and 7767 = 60271920

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 7767

7767 = 3 x 3 x 863

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

LCM = 60271920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 97 x 863

Step 4: Therefore, the least common multiple of 7760 and 7767 is 60271920.