Least Common Multiple of 36120 and 36124

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 36124 the smallest integer that is 326199720 that is divisible by both numbers.

Least Common Multiple (LCM) of 36120 and 36124 is 326199720.

LCM(36120,36124) = 326199720

LCM of 36120 and 36124

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

LCM of:
and

Least Common Multiple of 36120 and 36124

LCM of 36120 and 36124 is 326199720

Least common multiple can be found by multiplying the highest exponent prime factors of 36120 and 36124. First we will calculate the prime factors of 36120 and 36124.

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 36124


2 36124
2 18062
11 9031
821 821
1

Prime factors of 36124 are 2, 11,821. Prime factorization of 36124 in exponential form is:

36124 = 22×111×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 36120 and 36124.

LCM(36120,36124) = 23×31×51×71×111×431×8211
LCM(36120,36124) = 326199720

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 36124

List of positive integer factors of 36124 that divides 36124 without a remainder.

1, 2, 4, 11, 22, 44, 821, 1642, 3284, 9031, 18062, 36124

Least Common Multiple of 36120 and 36124 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 36124, than apply into the LCM equation.

GCF(36120,36124) = 4
LCM(36120,36124) = ( 36120 × 36124) / 4
LCM(36120,36124) = 1304798880 / 4
LCM(36120,36124) = 326199720

Properties of LCM 36120 and 36124

(i) The LCM of 36124 and 36120 is associative

LCM of 36120 and 36124 = LCM of 36124 and 36120

Related Least Common Multiples of 36120

Related Least Common Multiples of 36124

Frequently Asked Questions on LCM of 36120 and 36124

1. What is the LCM of 36120 and 36124?

Answer: LCM of 36120 and 36124 is 326199720.

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 36124?

Answer: Factors of 36124 are 1, 2, 4, 11, 22, 44, 821, 1642, 3284, 9031, 18062, 36124. There are 12 integers that are factors of 36124. The greatest factor of 36124 is 36124.

4. How to Find the LCM of 36120 and 36124?

Answer:

Least Common Multiple of 36120 and 36124 = 326199720

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 36124

36124 = 2 x 2 x 11 x 821

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

LCM = 326199720 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 43 x 821

Step 4: Therefore, the least common multiple of 36120 and 36124 is 326199720.