Least Common Multiple of 36020 and 36024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36020 and 36024 the smallest integer that is 324396120 that is divisible by both numbers.

Least Common Multiple (LCM) of 36020 and 36024 is 324396120.

LCM(36020,36024) = 324396120

LCM of 36020 and 36024

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

LCM of:
and

Least Common Multiple of 36020 and 36024

LCM of 36020 and 36024 is 324396120

Least common multiple can be found by multiplying the highest exponent prime factors of 36020 and 36024. First we will calculate the prime factors of 36020 and 36024.

Prime Factorization of 36020


2 36020
2 18010
5 9005
1801 1801
1

Prime factors of 36020 are 2, 5,1801. Prime factorization of 36020 in exponential form is:

36020 = 22×51×18011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36020 and 36024.

LCM(36020,36024) = 23×31×51×191×791×18011
LCM(36020,36024) = 324396120

Factors of 36020

List of positive integer factors of 36020 that divides 36020 without a remainder.

1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020

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

Least Common Multiple of 36020 and 36024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36020 and 36024, than apply into the LCM equation.

GCF(36020,36024) = 4
LCM(36020,36024) = ( 36020 × 36024) / 4
LCM(36020,36024) = 1297584480 / 4
LCM(36020,36024) = 324396120

Properties of LCM 36020 and 36024

(i) The LCM of 36024 and 36020 is associative

LCM of 36020 and 36024 = LCM of 36024 and 36020

Related Least Common Multiples of 36020

Related Least Common Multiples of 36024

Frequently Asked Questions on LCM of 36020 and 36024

1. What is the LCM of 36020 and 36024?

Answer: LCM of 36020 and 36024 is 324396120.

2. What are the Factors of 36020?

Answer: Factors of 36020 are 1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020. There are 12 integers that are factors of 36020. The greatest factor of 36020 is 36020.

3. 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.

4. How to Find the LCM of 36020 and 36024?

Answer:

Least Common Multiple of 36020 and 36024 = 324396120

Step 1: Find the prime factorization of 36020

36020 = 2 x 2 x 5 x 1801

Step 2: Find the prime factorization of 36024

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

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

LCM = 324396120 = 2 x 2 x 2 x 3 x 5 x 19 x 79 x 1801

Step 4: Therefore, the least common multiple of 36020 and 36024 is 324396120.