Least Common Multiple of 6030 and 6038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6030 and 6038 the smallest integer that is 18204570 that is divisible by both numbers.

Least Common Multiple (LCM) of 6030 and 6038 is 18204570.

LCM(6030,6038) = 18204570

LCM of 6030 and 6038

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

LCM of:
and

Least Common Multiple of 6030 and 6038

LCM of 6030 and 6038 is 18204570

Least common multiple can be found by multiplying the highest exponent prime factors of 6030 and 6038. First we will calculate the prime factors of 6030 and 6038.

Prime Factorization of 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2, 3, 5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

Prime Factorization of 6038


2 6038
3019 3019
1

Prime factors of 6038 are 2,3019. Prime factorization of 6038 in exponential form is:

6038 = 21×30191

Now multiplying the highest exponent prime factors to calculate the LCM of 6030 and 6038.

LCM(6030,6038) = 21×32×51×671×30191
LCM(6030,6038) = 18204570

Factors of 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030

Factors of 6038

List of positive integer factors of 6038 that divides 6038 without a remainder.

1, 2, 3019, 6038

Least Common Multiple of 6030 and 6038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6030 and 6038, than apply into the LCM equation.

GCF(6030,6038) = 2
LCM(6030,6038) = ( 6030 × 6038) / 2
LCM(6030,6038) = 36409140 / 2
LCM(6030,6038) = 18204570

Properties of LCM 6030 and 6038

(i) The LCM of 6038 and 6030 is associative

LCM of 6030 and 6038 = LCM of 6038 and 6030

Related Least Common Multiples of 6030

Related Least Common Multiples of 6038

Frequently Asked Questions on LCM of 6030 and 6038

1. What is the LCM of 6030 and 6038?

Answer: LCM of 6030 and 6038 is 18204570.

2. What are the Factors of 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

3. What are the Factors of 6038?

Answer: Factors of 6038 are 1, 2, 3019, 6038. There are 4 integers that are factors of 6038. The greatest factor of 6038 is 6038.

4. How to Find the LCM of 6030 and 6038?

Answer:

Least Common Multiple of 6030 and 6038 = 18204570

Step 1: Find the prime factorization of 6030

6030 = 2 x 3 x 3 x 5 x 67

Step 2: Find the prime factorization of 6038

6038 = 2 x 3019

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

LCM = 18204570 = 2 x 3 x 3 x 5 x 67 x 3019

Step 4: Therefore, the least common multiple of 6030 and 6038 is 18204570.