Least Common Multiple of 9742 and 9749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9742 and 9749 the smallest integer that is 94974758 that is divisible by both numbers.

Least Common Multiple (LCM) of 9742 and 9749 is 94974758.

LCM(9742,9749) = 94974758

LCM of 9742 and 9749

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

LCM of:
and

Least Common Multiple of 9742 and 9749

LCM of 9742 and 9749 is 94974758

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9749. First we will calculate the prime factors of 9742 and 9749.

Prime Factorization of 9742


2 9742
4871 4871
1

Prime factors of 9742 are 2,4871. Prime factorization of 9742 in exponential form is:

9742 = 21×48711

Prime Factorization of 9749


9749 9749
1

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

9749 = 97491

Now multiplying the highest exponent prime factors to calculate the LCM of 9742 and 9749.

LCM(9742,9749) = 21×48711×97491
LCM(9742,9749) = 94974758

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1, 2, 4871, 9742

Factors of 9749

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

1, 9749

Least Common Multiple of 9742 and 9749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9742 and 9749, than apply into the LCM equation.

GCF(9742,9749) = 1
LCM(9742,9749) = ( 9742 × 9749) / 1
LCM(9742,9749) = 94974758 / 1
LCM(9742,9749) = 94974758

Properties of LCM 9742 and 9749

(i) The LCM of 9749 and 9742 is associative

LCM of 9742 and 9749 = LCM of 9749 and 9742

Related Least Common Multiples of 9742

Related Least Common Multiples of 9749

Frequently Asked Questions on LCM of 9742 and 9749

1. What is the LCM of 9742 and 9749?

Answer: LCM of 9742 and 9749 is 94974758.

2. What are the Factors of 9742?

Answer: Factors of 9742 are 1, 2, 4871, 9742. There are 4 integers that are factors of 9742. The greatest factor of 9742 is 9742.

3. 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.

4. How to Find the LCM of 9742 and 9749?

Answer:

Least Common Multiple of 9742 and 9749 = 94974758

Step 1: Find the prime factorization of 9742

9742 = 2 x 4871

Step 2: Find the prime factorization of 9749

9749 = 9749

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

LCM = 94974758 = 2 x 4871 x 9749

Step 4: Therefore, the least common multiple of 9742 and 9749 is 94974758.