Least Common Multiple of 7030 and 7038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7030 and 7038 the smallest integer that is 24738570 that is divisible by both numbers.

Least Common Multiple (LCM) of 7030 and 7038 is 24738570.

LCM(7030,7038) = 24738570

LCM of 7030 and 7038

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

LCM of:
and

Least Common Multiple of 7030 and 7038

LCM of 7030 and 7038 is 24738570

Least common multiple can be found by multiplying the highest exponent prime factors of 7030 and 7038. First we will calculate the prime factors of 7030 and 7038.

Prime Factorization of 7030


2 7030
5 3515
19 703
37 37
1

Prime factors of 7030 are 2, 5, 19,37. Prime factorization of 7030 in exponential form is:

7030 = 21×51×191×371

Prime Factorization of 7038


2 7038
3 3519
3 1173
17 391
23 23
1

Prime factors of 7038 are 2, 3, 17,23. Prime factorization of 7038 in exponential form is:

7038 = 21×32×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7030 and 7038.

LCM(7030,7038) = 21×32×51×171×191×231×371
LCM(7030,7038) = 24738570

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038

Least Common Multiple of 7030 and 7038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7030 and 7038, than apply into the LCM equation.

GCF(7030,7038) = 2
LCM(7030,7038) = ( 7030 × 7038) / 2
LCM(7030,7038) = 49477140 / 2
LCM(7030,7038) = 24738570

Properties of LCM 7030 and 7038

(i) The LCM of 7038 and 7030 is associative

LCM of 7030 and 7038 = LCM of 7038 and 7030

Related Least Common Multiples of 7030

Related Least Common Multiples of 7038

Frequently Asked Questions on LCM of 7030 and 7038

1. What is the LCM of 7030 and 7038?

Answer: LCM of 7030 and 7038 is 24738570.

2. What are the Factors of 7030?

Answer: Factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030. There are 16 integers that are factors of 7030. The greatest factor of 7030 is 7030.

3. What are the Factors of 7038?

Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.

4. How to Find the LCM of 7030 and 7038?

Answer:

Least Common Multiple of 7030 and 7038 = 24738570

Step 1: Find the prime factorization of 7030

7030 = 2 x 5 x 19 x 37

Step 2: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

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

LCM = 24738570 = 2 x 3 x 3 x 5 x 17 x 19 x 23 x 37

Step 4: Therefore, the least common multiple of 7030 and 7038 is 24738570.