Least Common Multiple of 36120 and 36128

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 36128 the smallest integer that is 163117920 that is divisible by both numbers.

Least Common Multiple (LCM) of 36120 and 36128 is 163117920.

LCM(36120,36128) = 163117920

LCM of 36120 and 36128

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

LCM of:
and

Least Common Multiple of 36120 and 36128

LCM of 36120 and 36128 is 163117920

Least common multiple can be found by multiplying the highest exponent prime factors of 36120 and 36128. First we will calculate the prime factors of 36120 and 36128.

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 36128


2 36128
2 18064
2 9032
2 4516
2 2258
1129 1129
1

Prime factors of 36128 are 2,1129. Prime factorization of 36128 in exponential form is:

36128 = 25×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 36120 and 36128.

LCM(36120,36128) = 25×31×51×71×431×11291
LCM(36120,36128) = 163117920

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 36128

List of positive integer factors of 36128 that divides 36128 without a remainder.

1, 2, 4, 8, 16, 32, 1129, 2258, 4516, 9032, 18064, 36128

Least Common Multiple of 36120 and 36128 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 36128, than apply into the LCM equation.

GCF(36120,36128) = 8
LCM(36120,36128) = ( 36120 × 36128) / 8
LCM(36120,36128) = 1304943360 / 8
LCM(36120,36128) = 163117920

Properties of LCM 36120 and 36128

(i) The LCM of 36128 and 36120 is associative

LCM of 36120 and 36128 = LCM of 36128 and 36120

Related Least Common Multiples of 36120

Related Least Common Multiples of 36128

Frequently Asked Questions on LCM of 36120 and 36128

1. What is the LCM of 36120 and 36128?

Answer: LCM of 36120 and 36128 is 163117920.

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 36128?

Answer: Factors of 36128 are 1, 2, 4, 8, 16, 32, 1129, 2258, 4516, 9032, 18064, 36128. There are 12 integers that are factors of 36128. The greatest factor of 36128 is 36128.

4. How to Find the LCM of 36120 and 36128?

Answer:

Least Common Multiple of 36120 and 36128 = 163117920

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 36128

36128 = 2 x 2 x 2 x 2 x 2 x 1129

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

LCM = 163117920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 43 x 1129

Step 4: Therefore, the least common multiple of 36120 and 36128 is 163117920.