Least Common Multiple of 36120 and 36125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36120 and 36125 the smallest integer that is 260967000 that is divisible by both numbers.

Least Common Multiple (LCM) of 36120 and 36125 is 260967000.

LCM(36120,36125) = 260967000

LCM of 36120 and 36125

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

LCM of:
and

Least Common Multiple of 36120 and 36125

LCM of 36120 and 36125 is 260967000

Least common multiple can be found by multiplying the highest exponent prime factors of 36120 and 36125. First we will calculate the prime factors of 36120 and 36125.

Prime Factorization of 36120


2 36120
2 18060
2 9030
3 4515
5 1505
7 301
43 43
1

Prime factors of 36120 are 2, 3, 5, 7,43. Prime factorization of 36120 in exponential form is:

36120 = 23×31×51×71×431

Prime Factorization of 36125


5 36125
5 7225
5 1445
17 289
17 17
1

Prime factors of 36125 are 5,17. Prime factorization of 36125 in exponential form is:

36125 = 53×172

Now multiplying the highest exponent prime factors to calculate the LCM of 36120 and 36125.

LCM(36120,36125) = 23×31×53×71×172×431
LCM(36120,36125) = 260967000

Factors of 36120

List of positive integer factors of 36120 that divides 36120 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 43, 56, 60, 70, 84, 86, 105, 120, 129, 140, 168, 172, 210, 215, 258, 280, 301, 344, 420, 430, 516, 602, 645, 840, 860, 903, 1032, 1204, 1290, 1505, 1720, 1806, 2408, 2580, 3010, 3612, 4515, 5160, 6020, 7224, 9030, 12040, 18060, 36120

Factors of 36125

List of positive integer factors of 36125 that divides 36125 without a remainder.

1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125

Least Common Multiple of 36120 and 36125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36120 and 36125, than apply into the LCM equation.

GCF(36120,36125) = 5
LCM(36120,36125) = ( 36120 × 36125) / 5
LCM(36120,36125) = 1304835000 / 5
LCM(36120,36125) = 260967000

Properties of LCM 36120 and 36125

(i) The LCM of 36125 and 36120 is associative

LCM of 36120 and 36125 = LCM of 36125 and 36120

Related Least Common Multiples of 36120

Related Least Common Multiples of 36125

Frequently Asked Questions on LCM of 36120 and 36125

1. What is the LCM of 36120 and 36125?

Answer: LCM of 36120 and 36125 is 260967000.

2. What are the Factors of 36120?

Answer: Factors of 36120 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 43, 56, 60, 70, 84, 86, 105, 120, 129, 140, 168, 172, 210, 215, 258, 280, 301, 344, 420, 430, 516, 602, 645, 840, 860, 903, 1032, 1204, 1290, 1505, 1720, 1806, 2408, 2580, 3010, 3612, 4515, 5160, 6020, 7224, 9030, 12040, 18060, 36120. There are 64 integers that are factors of 36120. The greatest factor of 36120 is 36120.

3. What are the Factors of 36125?

Answer: Factors of 36125 are 1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125. There are 12 integers that are factors of 36125. The greatest factor of 36125 is 36125.

4. How to Find the LCM of 36120 and 36125?

Answer:

Least Common Multiple of 36120 and 36125 = 260967000

Step 1: Find the prime factorization of 36120

36120 = 2 x 2 x 2 x 3 x 5 x 7 x 43

Step 2: Find the prime factorization of 36125

36125 = 5 x 5 x 5 x 17 x 17

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

LCM = 260967000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 17 x 17 x 43

Step 4: Therefore, the least common multiple of 36120 and 36125 is 260967000.