Least Common Multiple of 36026 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 36026 and 36030 the smallest integer that is 649008390 that is divisible by both numbers.

Least Common Multiple (LCM) of 36026 and 36030 is 649008390.

LCM(36026,36030) = 649008390

LCM of 36026 and 36030

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

LCM of:
and

Least Common Multiple of 36026 and 36030

LCM of 36026 and 36030 is 649008390

Least common multiple can be found by multiplying the highest exponent prime factors of 36026 and 36030. First we will calculate the prime factors of 36026 and 36030.

Prime Factorization of 36026


2 36026
18013 18013
1

Prime factors of 36026 are 2,18013. Prime factorization of 36026 in exponential form is:

36026 = 21×180131

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 36026 and 36030.

LCM(36026,36030) = 21×31×51×12011×180131
LCM(36026,36030) = 649008390

Factors of 36026

List of positive integer factors of 36026 that divides 36026 without a remainder.

1, 2, 18013, 36026

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 36026 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 36026 and 36030, than apply into the LCM equation.

GCF(36026,36030) = 2
LCM(36026,36030) = ( 36026 × 36030) / 2
LCM(36026,36030) = 1298016780 / 2
LCM(36026,36030) = 649008390

Properties of LCM 36026 and 36030

(i) The LCM of 36030 and 36026 is associative

LCM of 36026 and 36030 = LCM of 36030 and 36026

Related Least Common Multiples of 36026

Related Least Common Multiples of 36030

Frequently Asked Questions on LCM of 36026 and 36030

1. What is the LCM of 36026 and 36030?

Answer: LCM of 36026 and 36030 is 649008390.

2. What are the Factors of 36026?

Answer: Factors of 36026 are 1, 2, 18013, 36026. There are 4 integers that are factors of 36026. The greatest factor of 36026 is 36026.

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 36026 and 36030?

Answer:

Least Common Multiple of 36026 and 36030 = 649008390

Step 1: Find the prime factorization of 36026

36026 = 2 x 18013

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 = 649008390 = 2 x 3 x 5 x 1201 x 18013

Step 4: Therefore, the least common multiple of 36026 and 36030 is 649008390.