Least Common Multiple of 9750 and 9755

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 9755 the smallest integer that is 19022250 that is divisible by both numbers.

Least Common Multiple (LCM) of 9750 and 9755 is 19022250.

LCM(9750,9755) = 19022250

LCM of 9750 and 9755

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

LCM of:
and

Least Common Multiple of 9750 and 9755

LCM of 9750 and 9755 is 19022250

Least common multiple can be found by multiplying the highest exponent prime factors of 9750 and 9755. First we will calculate the prime factors of 9750 and 9755.

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 9755


5 9755
1951 1951
1

Prime factors of 9755 are 5,1951. Prime factorization of 9755 in exponential form is:

9755 = 51×19511

Now multiplying the highest exponent prime factors to calculate the LCM of 9750 and 9755.

LCM(9750,9755) = 21×31×53×131×19511
LCM(9750,9755) = 19022250

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 9755

List of positive integer factors of 9755 that divides 9755 without a remainder.

1, 5, 1951, 9755

Least Common Multiple of 9750 and 9755 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 9755, than apply into the LCM equation.

GCF(9750,9755) = 5
LCM(9750,9755) = ( 9750 × 9755) / 5
LCM(9750,9755) = 95111250 / 5
LCM(9750,9755) = 19022250

Properties of LCM 9750 and 9755

(i) The LCM of 9755 and 9750 is associative

LCM of 9750 and 9755 = LCM of 9755 and 9750

Related Least Common Multiples of 9750

Related Least Common Multiples of 9755

Frequently Asked Questions on LCM of 9750 and 9755

1. What is the LCM of 9750 and 9755?

Answer: LCM of 9750 and 9755 is 19022250.

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 9755?

Answer: Factors of 9755 are 1, 5, 1951, 9755. There are 4 integers that are factors of 9755. The greatest factor of 9755 is 9755.

4. How to Find the LCM of 9750 and 9755?

Answer:

Least Common Multiple of 9750 and 9755 = 19022250

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 9755

9755 = 5 x 1951

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

LCM = 19022250 = 2 x 3 x 5 x 5 x 5 x 13 x 1951

Step 4: Therefore, the least common multiple of 9750 and 9755 is 19022250.