Least Common Multiple of 9742 and 9750

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 9750 the smallest integer that is 47492250 that is divisible by both numbers.

Least Common Multiple (LCM) of 9742 and 9750 is 47492250.

LCM(9742,9750) = 47492250

LCM of 9742 and 9750

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

LCM of:
and

Least Common Multiple of 9742 and 9750

LCM of 9742 and 9750 is 47492250

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9750. First we will calculate the prime factors of 9742 and 9750.

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 9750


2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 9750 are 2, 3, 5,13. Prime factorization of 9750 in exponential form is:

9750 = 21×31×53×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9742 and 9750.

LCM(9742,9750) = 21×31×53×131×48711
LCM(9742,9750) = 47492250

Factors of 9742

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

1, 2, 4871, 9742

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750

Least Common Multiple of 9742 and 9750 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 9750, than apply into the LCM equation.

GCF(9742,9750) = 2
LCM(9742,9750) = ( 9742 × 9750) / 2
LCM(9742,9750) = 94984500 / 2
LCM(9742,9750) = 47492250

Properties of LCM 9742 and 9750

(i) The LCM of 9750 and 9742 is associative

LCM of 9742 and 9750 = LCM of 9750 and 9742

Related Least Common Multiples of 9742

Related Least Common Multiples of 9750

Frequently Asked Questions on LCM of 9742 and 9750

1. What is the LCM of 9742 and 9750?

Answer: LCM of 9742 and 9750 is 47492250.

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 9750?

Answer: Factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750. There are 32 integers that are factors of 9750. The greatest factor of 9750 is 9750.

4. How to Find the LCM of 9742 and 9750?

Answer:

Least Common Multiple of 9742 and 9750 = 47492250

Step 1: Find the prime factorization of 9742

9742 = 2 x 4871

Step 2: Find the prime factorization of 9750

9750 = 2 x 3 x 5 x 5 x 5 x 13

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

LCM = 47492250 = 2 x 3 x 5 x 5 x 5 x 13 x 4871

Step 4: Therefore, the least common multiple of 9742 and 9750 is 47492250.