Least Common Multiple of 36120 and 36127

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 36127 the smallest integer that is 186415320 that is divisible by both numbers.

Least Common Multiple (LCM) of 36120 and 36127 is 186415320.

LCM(36120,36127) = 186415320

LCM of 36120 and 36127

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

LCM of:
and

Least Common Multiple of 36120 and 36127

LCM of 36120 and 36127 is 186415320

Least common multiple can be found by multiplying the highest exponent prime factors of 36120 and 36127. First we will calculate the prime factors of 36120 and 36127.

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 36127


7 36127
13 5161
397 397
1

Prime factors of 36127 are 7, 13,397. Prime factorization of 36127 in exponential form is:

36127 = 71×131×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 36120 and 36127.

LCM(36120,36127) = 23×31×51×71×131×431×3971
LCM(36120,36127) = 186415320

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 36127

List of positive integer factors of 36127 that divides 36127 without a remainder.

1, 7, 13, 91, 397, 2779, 5161, 36127

Least Common Multiple of 36120 and 36127 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 36127, than apply into the LCM equation.

GCF(36120,36127) = 7
LCM(36120,36127) = ( 36120 × 36127) / 7
LCM(36120,36127) = 1304907240 / 7
LCM(36120,36127) = 186415320

Properties of LCM 36120 and 36127

(i) The LCM of 36127 and 36120 is associative

LCM of 36120 and 36127 = LCM of 36127 and 36120

Related Least Common Multiples of 36120

Related Least Common Multiples of 36127

Frequently Asked Questions on LCM of 36120 and 36127

1. What is the LCM of 36120 and 36127?

Answer: LCM of 36120 and 36127 is 186415320.

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 36127?

Answer: Factors of 36127 are 1, 7, 13, 91, 397, 2779, 5161, 36127. There are 8 integers that are factors of 36127. The greatest factor of 36127 is 36127.

4. How to Find the LCM of 36120 and 36127?

Answer:

Least Common Multiple of 36120 and 36127 = 186415320

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 36127

36127 = 7 x 13 x 397

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

LCM = 186415320 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 43 x 397

Step 4: Therefore, the least common multiple of 36120 and 36127 is 186415320.