Least Common Multiple of 10500 and 10501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10500 and 10501 the smallest integer that is 110260500 that is divisible by both numbers.

Least Common Multiple (LCM) of 10500 and 10501 is 110260500.

LCM(10500,10501) = 110260500

LCM of 10500 and 10501

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

LCM of:
and

Least Common Multiple of 10500 and 10501

LCM of 10500 and 10501 is 110260500

Least common multiple can be found by multiplying the highest exponent prime factors of 10500 and 10501. First we will calculate the prime factors of 10500 and 10501.

Prime Factorization of 10500


2 10500
2 5250
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 10500 are 2, 3, 5,7. Prime factorization of 10500 in exponential form is:

10500 = 22×31×53×71

Prime Factorization of 10501


10501 10501
1

Prime factors of 10501 are 10501. Prime factorization of 10501 in exponential form is:

10501 = 105011

Now multiplying the highest exponent prime factors to calculate the LCM of 10500 and 10501.

LCM(10500,10501) = 22×31×53×71×105011
LCM(10500,10501) = 110260500

Factors of 10500

List of positive integer factors of 10500 that divides 10500 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 125, 140, 150, 175, 210, 250, 300, 350, 375, 420, 500, 525, 700, 750, 875, 1050, 1500, 1750, 2100, 2625, 3500, 5250, 10500

Factors of 10501

List of positive integer factors of 10501 that divides 10501 without a remainder.

1, 10501

Least Common Multiple of 10500 and 10501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10500 and 10501, than apply into the LCM equation.

GCF(10500,10501) = 1
LCM(10500,10501) = ( 10500 × 10501) / 1
LCM(10500,10501) = 110260500 / 1
LCM(10500,10501) = 110260500

Properties of LCM 10500 and 10501

(i) The LCM of 10501 and 10500 is associative

LCM of 10500 and 10501 = LCM of 10501 and 10500

Related Least Common Multiples of 10500

Related Least Common Multiples of 10501

Frequently Asked Questions on LCM of 10500 and 10501

1. What is the LCM of 10500 and 10501?

Answer: LCM of 10500 and 10501 is 110260500.

2. What are the Factors of 10500?

Answer: Factors of 10500 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 125, 140, 150, 175, 210, 250, 300, 350, 375, 420, 500, 525, 700, 750, 875, 1050, 1500, 1750, 2100, 2625, 3500, 5250, 10500. There are 48 integers that are factors of 10500. The greatest factor of 10500 is 10500.

3. What are the Factors of 10501?

Answer: Factors of 10501 are 1, 10501. There are 2 integers that are factors of 10501. The greatest factor of 10501 is 10501.

4. How to Find the LCM of 10500 and 10501?

Answer:

Least Common Multiple of 10500 and 10501 = 110260500

Step 1: Find the prime factorization of 10500

10500 = 2 x 2 x 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 10501

10501 = 10501

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

LCM = 110260500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 10501

Step 4: Therefore, the least common multiple of 10500 and 10501 is 110260500.