Least Common Multiple of 9754 and 9758

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 9758 the smallest integer that is 47589766 that is divisible by both numbers.

Least Common Multiple (LCM) of 9754 and 9758 is 47589766.

LCM(9754,9758) = 47589766

LCM of 9754 and 9758

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

LCM of:
and

Least Common Multiple of 9754 and 9758

LCM of 9754 and 9758 is 47589766

Least common multiple can be found by multiplying the highest exponent prime factors of 9754 and 9758. First we will calculate the prime factors of 9754 and 9758.

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 9758


2 9758
7 4879
17 697
41 41
1

Prime factors of 9758 are 2, 7, 17,41. Prime factorization of 9758 in exponential form is:

9758 = 21×71×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9754 and 9758.

LCM(9754,9758) = 21×71×171×411×48771
LCM(9754,9758) = 47589766

Factors of 9754

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

1, 2, 4877, 9754

Factors of 9758

List of positive integer factors of 9758 that divides 9758 without a remainder.

1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758

Least Common Multiple of 9754 and 9758 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 9758, than apply into the LCM equation.

GCF(9754,9758) = 2
LCM(9754,9758) = ( 9754 × 9758) / 2
LCM(9754,9758) = 95179532 / 2
LCM(9754,9758) = 47589766

Properties of LCM 9754 and 9758

(i) The LCM of 9758 and 9754 is associative

LCM of 9754 and 9758 = LCM of 9758 and 9754

Related Least Common Multiples of 9754

Related Least Common Multiples of 9758

Frequently Asked Questions on LCM of 9754 and 9758

1. What is the LCM of 9754 and 9758?

Answer: LCM of 9754 and 9758 is 47589766.

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 9758?

Answer: Factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758. There are 16 integers that are factors of 9758. The greatest factor of 9758 is 9758.

4. How to Find the LCM of 9754 and 9758?

Answer:

Least Common Multiple of 9754 and 9758 = 47589766

Step 1: Find the prime factorization of 9754

9754 = 2 x 4877

Step 2: Find the prime factorization of 9758

9758 = 2 x 7 x 17 x 41

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

LCM = 47589766 = 2 x 7 x 17 x 41 x 4877

Step 4: Therefore, the least common multiple of 9754 and 9758 is 47589766.