Least Common Multiple of 6030 and 6037

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 6037 the smallest integer that is 36403110 that is divisible by both numbers.

Least Common Multiple (LCM) of 6030 and 6037 is 36403110.

LCM(6030,6037) = 36403110

LCM of 6030 and 6037

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

LCM of:
and

Least Common Multiple of 6030 and 6037

LCM of 6030 and 6037 is 36403110

Least common multiple can be found by multiplying the highest exponent prime factors of 6030 and 6037. First we will calculate the prime factors of 6030 and 6037.

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 6037


6037 6037
1

Prime factors of 6037 are 6037. Prime factorization of 6037 in exponential form is:

6037 = 60371

Now multiplying the highest exponent prime factors to calculate the LCM of 6030 and 6037.

LCM(6030,6037) = 21×32×51×671×60371
LCM(6030,6037) = 36403110

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 6037

List of positive integer factors of 6037 that divides 6037 without a remainder.

1, 6037

Least Common Multiple of 6030 and 6037 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 6037, than apply into the LCM equation.

GCF(6030,6037) = 1
LCM(6030,6037) = ( 6030 × 6037) / 1
LCM(6030,6037) = 36403110 / 1
LCM(6030,6037) = 36403110

Properties of LCM 6030 and 6037

(i) The LCM of 6037 and 6030 is associative

LCM of 6030 and 6037 = LCM of 6037 and 6030

Related Least Common Multiples of 6030

Related Least Common Multiples of 6037

Frequently Asked Questions on LCM of 6030 and 6037

1. What is the LCM of 6030 and 6037?

Answer: LCM of 6030 and 6037 is 36403110.

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 6037?

Answer: Factors of 6037 are 1, 6037. There are 2 integers that are factors of 6037. The greatest factor of 6037 is 6037.

4. How to Find the LCM of 6030 and 6037?

Answer:

Least Common Multiple of 6030 and 6037 = 36403110

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 6037

6037 = 6037

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

LCM = 36403110 = 2 x 3 x 3 x 5 x 67 x 6037

Step 4: Therefore, the least common multiple of 6030 and 6037 is 36403110.