Least Common Multiple of 7038 and 7044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7038 and 7044 the smallest integer that is 8262612 that is divisible by both numbers.

Least Common Multiple (LCM) of 7038 and 7044 is 8262612.

LCM(7038,7044) = 8262612

LCM of 7038 and 7044

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

LCM of:
and

Least Common Multiple of 7038 and 7044

LCM of 7038 and 7044 is 8262612

Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7044. First we will calculate the prime factors of 7038 and 7044.

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

Prime Factorization of 7044


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:

7044 = 22×31×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7044.

LCM(7038,7044) = 22×32×171×231×5871
LCM(7038,7044) = 8262612

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

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044

Least Common Multiple of 7038 and 7044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7038 and 7044, than apply into the LCM equation.

GCF(7038,7044) = 6
LCM(7038,7044) = ( 7038 × 7044) / 6
LCM(7038,7044) = 49575672 / 6
LCM(7038,7044) = 8262612

Properties of LCM 7038 and 7044

(i) The LCM of 7044 and 7038 is associative

LCM of 7038 and 7044 = LCM of 7044 and 7038

Related Least Common Multiples of 7038

Related Least Common Multiples of 7044

Frequently Asked Questions on LCM of 7038 and 7044

1. What is the LCM of 7038 and 7044?

Answer: LCM of 7038 and 7044 is 8262612.

2. 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.

3. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

4. How to Find the LCM of 7038 and 7044?

Answer:

Least Common Multiple of 7038 and 7044 = 8262612

Step 1: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

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

LCM = 8262612 = 2 x 2 x 3 x 3 x 17 x 23 x 587

Step 4: Therefore, the least common multiple of 7038 and 7044 is 8262612.