Least Common Multiple of 9755 and 9760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9755 and 9760 the smallest integer that is 19041760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9755 and 9760 is 19041760.

LCM(9755,9760) = 19041760

LCM of 9755 and 9760

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

LCM of:
and

Least Common Multiple of 9755 and 9760

LCM of 9755 and 9760 is 19041760

Least common multiple can be found by multiplying the highest exponent prime factors of 9755 and 9760. First we will calculate the prime factors of 9755 and 9760.

Prime Factorization of 9755


5 9755
1951 1951
1

Prime factors of 9755 are 5,1951. Prime factorization of 9755 in exponential form is:

9755 = 51×19511

Prime Factorization of 9760


2 9760
2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 9760 are 2, 5,61. Prime factorization of 9760 in exponential form is:

9760 = 25×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9755 and 9760.

LCM(9755,9760) = 25×51×611×19511
LCM(9755,9760) = 19041760

Factors of 9755

List of positive integer factors of 9755 that divides 9755 without a remainder.

1, 5, 1951, 9755

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760

Least Common Multiple of 9755 and 9760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9755 and 9760, than apply into the LCM equation.

GCF(9755,9760) = 5
LCM(9755,9760) = ( 9755 × 9760) / 5
LCM(9755,9760) = 95208800 / 5
LCM(9755,9760) = 19041760

Properties of LCM 9755 and 9760

(i) The LCM of 9760 and 9755 is associative

LCM of 9755 and 9760 = LCM of 9760 and 9755

Related Least Common Multiples of 9755

Related Least Common Multiples of 9760

Frequently Asked Questions on LCM of 9755 and 9760

1. What is the LCM of 9755 and 9760?

Answer: LCM of 9755 and 9760 is 19041760.

2. What are the Factors of 9755?

Answer: Factors of 9755 are 1, 5, 1951, 9755. There are 4 integers that are factors of 9755. The greatest factor of 9755 is 9755.

3. What are the Factors of 9760?

Answer: Factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760. There are 24 integers that are factors of 9760. The greatest factor of 9760 is 9760.

4. How to Find the LCM of 9755 and 9760?

Answer:

Least Common Multiple of 9755 and 9760 = 19041760

Step 1: Find the prime factorization of 9755

9755 = 5 x 1951

Step 2: Find the prime factorization of 9760

9760 = 2 x 2 x 2 x 2 x 2 x 5 x 61

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

LCM = 19041760 = 2 x 2 x 2 x 2 x 2 x 5 x 61 x 1951

Step 4: Therefore, the least common multiple of 9755 and 9760 is 19041760.