Least Common Multiple of 9754 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 9754 and 9760 the smallest integer that is 47599520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9754 and 9760 is 47599520.

LCM(9754,9760) = 47599520

LCM of 9754 and 9760

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

LCM of:
and

Least Common Multiple of 9754 and 9760

LCM of 9754 and 9760 is 47599520

Least common multiple can be found by multiplying the highest exponent prime factors of 9754 and 9760. First we will calculate the prime factors of 9754 and 9760.

Prime Factorization of 9754


2 9754
4877 4877
1

Prime factors of 9754 are 2,4877. Prime factorization of 9754 in exponential form is:

9754 = 21×48771

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 9754 and 9760.

LCM(9754,9760) = 25×51×611×48771
LCM(9754,9760) = 47599520

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1, 2, 4877, 9754

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 9754 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 9754 and 9760, than apply into the LCM equation.

GCF(9754,9760) = 2
LCM(9754,9760) = ( 9754 × 9760) / 2
LCM(9754,9760) = 95199040 / 2
LCM(9754,9760) = 47599520

Properties of LCM 9754 and 9760

(i) The LCM of 9760 and 9754 is associative

LCM of 9754 and 9760 = LCM of 9760 and 9754

Related Least Common Multiples of 9754

Related Least Common Multiples of 9760

Frequently Asked Questions on LCM of 9754 and 9760

1. What is the LCM of 9754 and 9760?

Answer: LCM of 9754 and 9760 is 47599520.

2. What are the Factors of 9754?

Answer: Factors of 9754 are 1, 2, 4877, 9754. There are 4 integers that are factors of 9754. The greatest factor of 9754 is 9754.

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 9754 and 9760?

Answer:

Least Common Multiple of 9754 and 9760 = 47599520

Step 1: Find the prime factorization of 9754

9754 = 2 x 4877

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 = 47599520 = 2 x 2 x 2 x 2 x 2 x 5 x 61 x 4877

Step 4: Therefore, the least common multiple of 9754 and 9760 is 47599520.