Least Common Multiple of 9750 and 9757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9750 and 9757 the smallest integer that is 95130750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9750 and 9757 is 95130750.

LCM(9750,9757) = 95130750

LCM of 9750 and 9757

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

LCM of:
and

Least Common Multiple of 9750 and 9757

LCM of 9750 and 9757 is 95130750

Least common multiple can be found by multiplying the highest exponent prime factors of 9750 and 9757. First we will calculate the prime factors of 9750 and 9757.

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

Prime Factorization of 9757


11 9757
887 887
1

Prime factors of 9757 are 11,887. Prime factorization of 9757 in exponential form is:

9757 = 111×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 9750 and 9757.

LCM(9750,9757) = 21×31×53×111×131×8871
LCM(9750,9757) = 95130750

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

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1, 11, 887, 9757

Least Common Multiple of 9750 and 9757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9750 and 9757, than apply into the LCM equation.

GCF(9750,9757) = 1
LCM(9750,9757) = ( 9750 × 9757) / 1
LCM(9750,9757) = 95130750 / 1
LCM(9750,9757) = 95130750

Properties of LCM 9750 and 9757

(i) The LCM of 9757 and 9750 is associative

LCM of 9750 and 9757 = LCM of 9757 and 9750

Related Least Common Multiples of 9750

Related Least Common Multiples of 9757

Frequently Asked Questions on LCM of 9750 and 9757

1. What is the LCM of 9750 and 9757?

Answer: LCM of 9750 and 9757 is 95130750.

2. 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.

3. What are the Factors of 9757?

Answer: Factors of 9757 are 1, 11, 887, 9757. There are 4 integers that are factors of 9757. The greatest factor of 9757 is 9757.

4. How to Find the LCM of 9750 and 9757?

Answer:

Least Common Multiple of 9750 and 9757 = 95130750

Step 1: Find the prime factorization of 9750

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

Step 2: Find the prime factorization of 9757

9757 = 11 x 887

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

LCM = 95130750 = 2 x 3 x 5 x 5 x 5 x 11 x 13 x 887

Step 4: Therefore, the least common multiple of 9750 and 9757 is 95130750.