Least Common Multiple of 36019 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 36019 and 36024 the smallest integer that is 1297548456 that is divisible by both numbers.

Least Common Multiple (LCM) of 36019 and 36024 is 1297548456.

LCM(36019,36024) = 1297548456

LCM of 36019 and 36024

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

LCM of:
and

Least Common Multiple of 36019 and 36024

LCM of 36019 and 36024 is 1297548456

Least common multiple can be found by multiplying the highest exponent prime factors of 36019 and 36024. First we will calculate the prime factors of 36019 and 36024.

Prime Factorization of 36019


181 36019
199 199
1

Prime factors of 36019 are 181,199. Prime factorization of 36019 in exponential form is:

36019 = 1811×1991

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 36019 and 36024.

LCM(36019,36024) = 23×31×191×791×1811×1991
LCM(36019,36024) = 1297548456

Factors of 36019

List of positive integer factors of 36019 that divides 36019 without a remainder.

1, 181, 199, 36019

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 36019 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 36019 and 36024, than apply into the LCM equation.

GCF(36019,36024) = 1
LCM(36019,36024) = ( 36019 × 36024) / 1
LCM(36019,36024) = 1297548456 / 1
LCM(36019,36024) = 1297548456

Properties of LCM 36019 and 36024

(i) The LCM of 36024 and 36019 is associative

LCM of 36019 and 36024 = LCM of 36024 and 36019

Related Least Common Multiples of 36019

Related Least Common Multiples of 36024

Frequently Asked Questions on LCM of 36019 and 36024

1. What is the LCM of 36019 and 36024?

Answer: LCM of 36019 and 36024 is 1297548456.

2. What are the Factors of 36019?

Answer: Factors of 36019 are 1, 181, 199, 36019. There are 4 integers that are factors of 36019. The greatest factor of 36019 is 36019.

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 36019 and 36024?

Answer:

Least Common Multiple of 36019 and 36024 = 1297548456

Step 1: Find the prime factorization of 36019

36019 = 181 x 199

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 = 1297548456 = 2 x 2 x 2 x 3 x 19 x 79 x 181 x 199

Step 4: Therefore, the least common multiple of 36019 and 36024 is 1297548456.