Least Common Multiple of 36024 and 36031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36024 and 36031 the smallest integer that is 1297980744 that is divisible by both numbers.

Least Common Multiple (LCM) of 36024 and 36031 is 1297980744.

LCM(36024,36031) = 1297980744

LCM of 36024 and 36031

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

LCM of:
and

Least Common Multiple of 36024 and 36031

LCM of 36024 and 36031 is 1297980744

Least common multiple can be found by multiplying the highest exponent prime factors of 36024 and 36031. First we will calculate the prime factors of 36024 and 36031.

Prime Factorization of 36024


2 36024
2 18012
2 9006
3 4503
19 1501
79 79
1

Prime factors of 36024 are 2, 3, 19,79. Prime factorization of 36024 in exponential form is:

36024 = 23×31×191×791

Prime Factorization of 36031


137 36031
263 263
1

Prime factors of 36031 are 137,263. Prime factorization of 36031 in exponential form is:

36031 = 1371×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 36024 and 36031.

LCM(36024,36031) = 23×31×191×791×1371×2631
LCM(36024,36031) = 1297980744

Factors of 36024

List of positive integer factors of 36024 that divides 36024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012, 36024

Factors of 36031

List of positive integer factors of 36031 that divides 36031 without a remainder.

1, 137, 263, 36031

Least Common Multiple of 36024 and 36031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36024 and 36031, than apply into the LCM equation.

GCF(36024,36031) = 1
LCM(36024,36031) = ( 36024 × 36031) / 1
LCM(36024,36031) = 1297980744 / 1
LCM(36024,36031) = 1297980744

Properties of LCM 36024 and 36031

(i) The LCM of 36031 and 36024 is associative

LCM of 36024 and 36031 = LCM of 36031 and 36024

Related Least Common Multiples of 36024

Related Least Common Multiples of 36031

Frequently Asked Questions on LCM of 36024 and 36031

1. What is the LCM of 36024 and 36031?

Answer: LCM of 36024 and 36031 is 1297980744.

2. What are the Factors of 36024?

Answer: Factors of 36024 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012, 36024. There are 32 integers that are factors of 36024. The greatest factor of 36024 is 36024.

3. What are the Factors of 36031?

Answer: Factors of 36031 are 1, 137, 263, 36031. There are 4 integers that are factors of 36031. The greatest factor of 36031 is 36031.

4. How to Find the LCM of 36024 and 36031?

Answer:

Least Common Multiple of 36024 and 36031 = 1297980744

Step 1: Find the prime factorization of 36024

36024 = 2 x 2 x 2 x 3 x 19 x 79

Step 2: Find the prime factorization of 36031

36031 = 137 x 263

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

LCM = 1297980744 = 2 x 2 x 2 x 3 x 19 x 79 x 137 x 263

Step 4: Therefore, the least common multiple of 36024 and 36031 is 1297980744.