Least Common Multiple of 7753 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 7753 and 7760 the smallest integer that is 60163280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7753 and 7760 is 60163280.

LCM(7753,7760) = 60163280

LCM of 7753 and 7760

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

LCM of:
and

Least Common Multiple of 7753 and 7760

LCM of 7753 and 7760 is 60163280

Least common multiple can be found by multiplying the highest exponent prime factors of 7753 and 7760. First we will calculate the prime factors of 7753 and 7760.

Prime Factorization of 7753


7753 7753
1

Prime factors of 7753 are 7753. Prime factorization of 7753 in exponential form is:

7753 = 77531

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 7753 and 7760.

LCM(7753,7760) = 24×51×971×77531
LCM(7753,7760) = 60163280

Factors of 7753

List of positive integer factors of 7753 that divides 7753 without a remainder.

1, 7753

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 7753 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 7753 and 7760, than apply into the LCM equation.

GCF(7753,7760) = 1
LCM(7753,7760) = ( 7753 × 7760) / 1
LCM(7753,7760) = 60163280 / 1
LCM(7753,7760) = 60163280

Properties of LCM 7753 and 7760

(i) The LCM of 7760 and 7753 is associative

LCM of 7753 and 7760 = LCM of 7760 and 7753

Related Least Common Multiples of 7753

Related Least Common Multiples of 7760

Frequently Asked Questions on LCM of 7753 and 7760

1. What is the LCM of 7753 and 7760?

Answer: LCM of 7753 and 7760 is 60163280.

2. What are the Factors of 7753?

Answer: Factors of 7753 are 1, 7753. There are 2 integers that are factors of 7753. The greatest factor of 7753 is 7753.

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 7753 and 7760?

Answer:

Least Common Multiple of 7753 and 7760 = 60163280

Step 1: Find the prime factorization of 7753

7753 = 7753

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 = 60163280 = 2 x 2 x 2 x 2 x 5 x 97 x 7753

Step 4: Therefore, the least common multiple of 7753 and 7760 is 60163280.