Least Common Multiple of 36136 and 36144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36136 and 36144 the smallest integer that is 163262448 that is divisible by both numbers.

Least Common Multiple (LCM) of 36136 and 36144 is 163262448.

LCM(36136,36144) = 163262448

LCM of 36136 and 36144

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

LCM of:
and

Least Common Multiple of 36136 and 36144

LCM of 36136 and 36144 is 163262448

Least common multiple can be found by multiplying the highest exponent prime factors of 36136 and 36144. First we will calculate the prime factors of 36136 and 36144.

Prime Factorization of 36136


2 36136
2 18068
2 9034
4517 4517
1

Prime factors of 36136 are 2,4517. Prime factorization of 36136 in exponential form is:

36136 = 23×45171

Prime Factorization of 36144


2 36144
2 18072
2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 36144 are 2, 3,251. Prime factorization of 36144 in exponential form is:

36144 = 24×32×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 36136 and 36144.

LCM(36136,36144) = 24×32×2511×45171
LCM(36136,36144) = 163262448

Factors of 36136

List of positive integer factors of 36136 that divides 36136 without a remainder.

1, 2, 4, 8, 4517, 9034, 18068, 36136

Factors of 36144

List of positive integer factors of 36144 that divides 36144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 9036, 12048, 18072, 36144

Least Common Multiple of 36136 and 36144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36136 and 36144, than apply into the LCM equation.

GCF(36136,36144) = 8
LCM(36136,36144) = ( 36136 × 36144) / 8
LCM(36136,36144) = 1306099584 / 8
LCM(36136,36144) = 163262448

Properties of LCM 36136 and 36144

(i) The LCM of 36144 and 36136 is associative

LCM of 36136 and 36144 = LCM of 36144 and 36136

Related Least Common Multiples of 36136

Related Least Common Multiples of 36144

Frequently Asked Questions on LCM of 36136 and 36144

1. What is the LCM of 36136 and 36144?

Answer: LCM of 36136 and 36144 is 163262448.

2. What are the Factors of 36136?

Answer: Factors of 36136 are 1, 2, 4, 8, 4517, 9034, 18068, 36136. There are 8 integers that are factors of 36136. The greatest factor of 36136 is 36136.

3. What are the Factors of 36144?

Answer: Factors of 36144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 9036, 12048, 18072, 36144. There are 30 integers that are factors of 36144. The greatest factor of 36144 is 36144.

4. How to Find the LCM of 36136 and 36144?

Answer:

Least Common Multiple of 36136 and 36144 = 163262448

Step 1: Find the prime factorization of 36136

36136 = 2 x 2 x 2 x 4517

Step 2: Find the prime factorization of 36144

36144 = 2 x 2 x 2 x 2 x 3 x 3 x 251

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

LCM = 163262448 = 2 x 2 x 2 x 2 x 3 x 3 x 251 x 4517

Step 4: Therefore, the least common multiple of 36136 and 36144 is 163262448.