Least Common Multiple of 36024 and 36030

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 36030 the smallest integer that is 216324120 that is divisible by both numbers.

Least Common Multiple (LCM) of 36024 and 36030 is 216324120.

LCM(36024,36030) = 216324120

LCM of 36024 and 36030

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

LCM of:
and

Least Common Multiple of 36024 and 36030

LCM of 36024 and 36030 is 216324120

Least common multiple can be found by multiplying the highest exponent prime factors of 36024 and 36030. First we will calculate the prime factors of 36024 and 36030.

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 36030


2 36030
3 18015
5 6005
1201 1201
1

Prime factors of 36030 are 2, 3, 5,1201. Prime factorization of 36030 in exponential form is:

36030 = 21×31×51×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 36024 and 36030.

LCM(36024,36030) = 23×31×51×191×791×12011
LCM(36024,36030) = 216324120

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 36030

List of positive integer factors of 36030 that divides 36030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030

Least Common Multiple of 36024 and 36030 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 36030, than apply into the LCM equation.

GCF(36024,36030) = 6
LCM(36024,36030) = ( 36024 × 36030) / 6
LCM(36024,36030) = 1297944720 / 6
LCM(36024,36030) = 216324120

Properties of LCM 36024 and 36030

(i) The LCM of 36030 and 36024 is associative

LCM of 36024 and 36030 = LCM of 36030 and 36024

Related Least Common Multiples of 36024

Related Least Common Multiples of 36030

Frequently Asked Questions on LCM of 36024 and 36030

1. What is the LCM of 36024 and 36030?

Answer: LCM of 36024 and 36030 is 216324120.

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 36030?

Answer: Factors of 36030 are 1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030. There are 16 integers that are factors of 36030. The greatest factor of 36030 is 36030.

4. How to Find the LCM of 36024 and 36030?

Answer:

Least Common Multiple of 36024 and 36030 = 216324120

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 36030

36030 = 2 x 3 x 5 x 1201

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

LCM = 216324120 = 2 x 2 x 2 x 3 x 5 x 19 x 79 x 1201

Step 4: Therefore, the least common multiple of 36024 and 36030 is 216324120.