Least Common Multiple of 30030 and 30036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30030 and 30036 the smallest integer that is 150330180 that is divisible by both numbers.

Least Common Multiple (LCM) of 30030 and 30036 is 150330180.

LCM(30030,30036) = 150330180

LCM of 30030 and 30036

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

LCM of:
and

Least Common Multiple of 30030 and 30036

LCM of 30030 and 30036 is 150330180

Least common multiple can be found by multiplying the highest exponent prime factors of 30030 and 30036. First we will calculate the prime factors of 30030 and 30036.

Prime Factorization of 30030


2 30030
3 15015
5 5005
7 1001
11 143
13 13
1

Prime factors of 30030 are 2, 3, 5, 7, 11,13. Prime factorization of 30030 in exponential form is:

30030 = 21×31×51×71×111×131

Prime Factorization of 30036


2 30036
2 15018
3 7509
2503 2503
1

Prime factors of 30036 are 2, 3,2503. Prime factorization of 30036 in exponential form is:

30036 = 22×31×25031

Now multiplying the highest exponent prime factors to calculate the LCM of 30030 and 30036.

LCM(30030,30036) = 22×31×51×71×111×131×25031
LCM(30030,30036) = 150330180

Factors of 30030

List of positive integer factors of 30030 that divides 30030 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015, 30030

Factors of 30036

List of positive integer factors of 30036 that divides 30036 without a remainder.

1, 2, 3, 4, 6, 12, 2503, 5006, 7509, 10012, 15018, 30036

Least Common Multiple of 30030 and 30036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30030 and 30036, than apply into the LCM equation.

GCF(30030,30036) = 6
LCM(30030,30036) = ( 30030 × 30036) / 6
LCM(30030,30036) = 901981080 / 6
LCM(30030,30036) = 150330180

Properties of LCM 30030 and 30036

(i) The LCM of 30036 and 30030 is associative

LCM of 30030 and 30036 = LCM of 30036 and 30030

Related Least Common Multiples of 30030

Related Least Common Multiples of 30036

Frequently Asked Questions on LCM of 30030 and 30036

1. What is the LCM of 30030 and 30036?

Answer: LCM of 30030 and 30036 is 150330180.

2. What are the Factors of 30030?

Answer: Factors of 30030 are 1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015, 30030. There are 64 integers that are factors of 30030. The greatest factor of 30030 is 30030.

3. What are the Factors of 30036?

Answer: Factors of 30036 are 1, 2, 3, 4, 6, 12, 2503, 5006, 7509, 10012, 15018, 30036. There are 12 integers that are factors of 30036. The greatest factor of 30036 is 30036.

4. How to Find the LCM of 30030 and 30036?

Answer:

Least Common Multiple of 30030 and 30036 = 150330180

Step 1: Find the prime factorization of 30030

30030 = 2 x 3 x 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 30036

30036 = 2 x 2 x 3 x 2503

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

LCM = 150330180 = 2 x 2 x 3 x 5 x 7 x 11 x 13 x 2503

Step 4: Therefore, the least common multiple of 30030 and 30036 is 150330180.