Least Common Multiple of 9749 and 9754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9749 and 9754 the smallest integer that is 95091746 that is divisible by both numbers.

Least Common Multiple (LCM) of 9749 and 9754 is 95091746.

LCM(9749,9754) = 95091746

LCM of 9749 and 9754

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

LCM of:
and

Least Common Multiple of 9749 and 9754

LCM of 9749 and 9754 is 95091746

Least common multiple can be found by multiplying the highest exponent prime factors of 9749 and 9754. First we will calculate the prime factors of 9749 and 9754.

Prime Factorization of 9749


9749 9749
1

Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:

9749 = 97491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9749 and 9754.

LCM(9749,9754) = 21×48771×97491
LCM(9749,9754) = 95091746

Factors of 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1, 9749

Factors of 9754

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

1, 2, 4877, 9754

Least Common Multiple of 9749 and 9754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9749 and 9754, than apply into the LCM equation.

GCF(9749,9754) = 1
LCM(9749,9754) = ( 9749 × 9754) / 1
LCM(9749,9754) = 95091746 / 1
LCM(9749,9754) = 95091746

Properties of LCM 9749 and 9754

(i) The LCM of 9754 and 9749 is associative

LCM of 9749 and 9754 = LCM of 9754 and 9749

Related Least Common Multiples of 9749

Related Least Common Multiples of 9754

Frequently Asked Questions on LCM of 9749 and 9754

1. What is the LCM of 9749 and 9754?

Answer: LCM of 9749 and 9754 is 95091746.

2. What are the Factors of 9749?

Answer: Factors of 9749 are 1, 9749. There are 2 integers that are factors of 9749. The greatest factor of 9749 is 9749.

3. 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.

4. How to Find the LCM of 9749 and 9754?

Answer:

Least Common Multiple of 9749 and 9754 = 95091746

Step 1: Find the prime factorization of 9749

9749 = 9749

Step 2: Find the prime factorization of 9754

9754 = 2 x 4877

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

LCM = 95091746 = 2 x 4877 x 9749

Step 4: Therefore, the least common multiple of 9749 and 9754 is 95091746.