Least Common Multiple of 7760 and 7766

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 7766 the smallest integer that is 30132080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7760 and 7766 is 30132080.

LCM(7760,7766) = 30132080

LCM of 7760 and 7766

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

LCM of:
and

Least Common Multiple of 7760 and 7766

LCM of 7760 and 7766 is 30132080

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7766. First we will calculate the prime factors of 7760 and 7766.

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 7766


2 7766
11 3883
353 353
1

Prime factors of 7766 are 2, 11,353. Prime factorization of 7766 in exponential form is:

7766 = 21×111×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7766.

LCM(7760,7766) = 24×51×111×971×3531
LCM(7760,7766) = 30132080

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 7766

List of positive integer factors of 7766 that divides 7766 without a remainder.

1, 2, 11, 22, 353, 706, 3883, 7766

Least Common Multiple of 7760 and 7766 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 7766, than apply into the LCM equation.

GCF(7760,7766) = 2
LCM(7760,7766) = ( 7760 × 7766) / 2
LCM(7760,7766) = 60264160 / 2
LCM(7760,7766) = 30132080

Properties of LCM 7760 and 7766

(i) The LCM of 7766 and 7760 is associative

LCM of 7760 and 7766 = LCM of 7766 and 7760

Related Least Common Multiples of 7760

Related Least Common Multiples of 7766

Frequently Asked Questions on LCM of 7760 and 7766

1. What is the LCM of 7760 and 7766?

Answer: LCM of 7760 and 7766 is 30132080.

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 7766?

Answer: Factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766. There are 8 integers that are factors of 7766. The greatest factor of 7766 is 7766.

4. How to Find the LCM of 7760 and 7766?

Answer:

Least Common Multiple of 7760 and 7766 = 30132080

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 7766

7766 = 2 x 11 x 353

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

LCM = 30132080 = 2 x 2 x 2 x 2 x 5 x 11 x 97 x 353

Step 4: Therefore, the least common multiple of 7760 and 7766 is 30132080.