Least Common Multiple of 36114 and 36120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36114 and 36120 the smallest integer that is 217406280 that is divisible by both numbers.

Least Common Multiple (LCM) of 36114 and 36120 is 217406280.

LCM(36114,36120) = 217406280

LCM of 36114 and 36120

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

LCM of:
and

Least Common Multiple of 36114 and 36120

LCM of 36114 and 36120 is 217406280

Least common multiple can be found by multiplying the highest exponent prime factors of 36114 and 36120. First we will calculate the prime factors of 36114 and 36120.

Prime Factorization of 36114


2 36114
3 18057
13 6019
463 463
1

Prime factors of 36114 are 2, 3, 13,463. Prime factorization of 36114 in exponential form is:

36114 = 21×31×131×4631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36114 and 36120.

LCM(36114,36120) = 23×31×51×71×131×431×4631
LCM(36114,36120) = 217406280

Factors of 36114

List of positive integer factors of 36114 that divides 36114 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 463, 926, 1389, 2778, 6019, 12038, 18057, 36114

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

Least Common Multiple of 36114 and 36120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36114 and 36120, than apply into the LCM equation.

GCF(36114,36120) = 6
LCM(36114,36120) = ( 36114 × 36120) / 6
LCM(36114,36120) = 1304437680 / 6
LCM(36114,36120) = 217406280

Properties of LCM 36114 and 36120

(i) The LCM of 36120 and 36114 is associative

LCM of 36114 and 36120 = LCM of 36120 and 36114

Related Least Common Multiples of 36114

Related Least Common Multiples of 36120

Frequently Asked Questions on LCM of 36114 and 36120

1. What is the LCM of 36114 and 36120?

Answer: LCM of 36114 and 36120 is 217406280.

2. What are the Factors of 36114?

Answer: Factors of 36114 are 1, 2, 3, 6, 13, 26, 39, 78, 463, 926, 1389, 2778, 6019, 12038, 18057, 36114. There are 16 integers that are factors of 36114. The greatest factor of 36114 is 36114.

3. 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.

4. How to Find the LCM of 36114 and 36120?

Answer:

Least Common Multiple of 36114 and 36120 = 217406280

Step 1: Find the prime factorization of 36114

36114 = 2 x 3 x 13 x 463

Step 2: Find the prime factorization of 36120

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

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

LCM = 217406280 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 43 x 463

Step 4: Therefore, the least common multiple of 36114 and 36120 is 217406280.