Least Common Multiple of 10120 and 10125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10120 and 10125 the smallest integer that is 20493000 that is divisible by both numbers.

Least Common Multiple (LCM) of 10120 and 10125 is 20493000.

LCM(10120,10125) = 20493000

LCM of 10120 and 10125

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

LCM of:
and

Least Common Multiple of 10120 and 10125

LCM of 10120 and 10125 is 20493000

Least common multiple can be found by multiplying the highest exponent prime factors of 10120 and 10125. First we will calculate the prime factors of 10120 and 10125.

Prime Factorization of 10120


2 10120
2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 10120 are 2, 5, 11,23. Prime factorization of 10120 in exponential form is:

10120 = 23×51×111×231

Prime Factorization of 10125


3 10125
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 10125 are 3,5. Prime factorization of 10125 in exponential form is:

10125 = 34×53

Now multiplying the highest exponent prime factors to calculate the LCM of 10120 and 10125.

LCM(10120,10125) = 23×34×53×111×231
LCM(10120,10125) = 20493000

Factors of 10120

List of positive integer factors of 10120 that divides 10120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 40, 44, 46, 55, 88, 92, 110, 115, 184, 220, 230, 253, 440, 460, 506, 920, 1012, 1265, 2024, 2530, 5060, 10120

Factors of 10125

List of positive integer factors of 10125 that divides 10125 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 675, 1125, 2025, 3375, 10125

Least Common Multiple of 10120 and 10125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10120 and 10125, than apply into the LCM equation.

GCF(10120,10125) = 5
LCM(10120,10125) = ( 10120 × 10125) / 5
LCM(10120,10125) = 102465000 / 5
LCM(10120,10125) = 20493000

Properties of LCM 10120 and 10125

(i) The LCM of 10125 and 10120 is associative

LCM of 10120 and 10125 = LCM of 10125 and 10120

Related Least Common Multiples of 10120

Related Least Common Multiples of 10125

Frequently Asked Questions on LCM of 10120 and 10125

1. What is the LCM of 10120 and 10125?

Answer: LCM of 10120 and 10125 is 20493000.

2. What are the Factors of 10120?

Answer: Factors of 10120 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 40, 44, 46, 55, 88, 92, 110, 115, 184, 220, 230, 253, 440, 460, 506, 920, 1012, 1265, 2024, 2530, 5060, 10120. There are 32 integers that are factors of 10120. The greatest factor of 10120 is 10120.

3. What are the Factors of 10125?

Answer: Factors of 10125 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 675, 1125, 2025, 3375, 10125. There are 20 integers that are factors of 10125. The greatest factor of 10125 is 10125.

4. How to Find the LCM of 10120 and 10125?

Answer:

Least Common Multiple of 10120 and 10125 = 20493000

Step 1: Find the prime factorization of 10120

10120 = 2 x 2 x 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 10125

10125 = 3 x 3 x 3 x 3 x 5 x 5 x 5

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

LCM = 20493000 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 23

Step 4: Therefore, the least common multiple of 10120 and 10125 is 20493000.