Least Common Multiple of 7038 and 7046

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 7046 the smallest integer that is 24794874 that is divisible by both numbers.

Least Common Multiple (LCM) of 7038 and 7046 is 24794874.

LCM(7038,7046) = 24794874

LCM of 7038 and 7046

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

LCM of:
and

Least Common Multiple of 7038 and 7046

LCM of 7038 and 7046 is 24794874

Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7046. First we will calculate the prime factors of 7038 and 7046.

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 7046


2 7046
13 3523
271 271
1

Prime factors of 7046 are 2, 13,271. Prime factorization of 7046 in exponential form is:

7046 = 21×131×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7046.

LCM(7038,7046) = 21×32×131×171×231×2711
LCM(7038,7046) = 24794874

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 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1, 2, 13, 26, 271, 542, 3523, 7046

Least Common Multiple of 7038 and 7046 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 7046, than apply into the LCM equation.

GCF(7038,7046) = 2
LCM(7038,7046) = ( 7038 × 7046) / 2
LCM(7038,7046) = 49589748 / 2
LCM(7038,7046) = 24794874

Properties of LCM 7038 and 7046

(i) The LCM of 7046 and 7038 is associative

LCM of 7038 and 7046 = LCM of 7046 and 7038

Related Least Common Multiples of 7038

Related Least Common Multiples of 7046

Frequently Asked Questions on LCM of 7038 and 7046

1. What is the LCM of 7038 and 7046?

Answer: LCM of 7038 and 7046 is 24794874.

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 7046?

Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.

4. How to Find the LCM of 7038 and 7046?

Answer:

Least Common Multiple of 7038 and 7046 = 24794874

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 7046

7046 = 2 x 13 x 271

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

LCM = 24794874 = 2 x 3 x 3 x 13 x 17 x 23 x 271

Step 4: Therefore, the least common multiple of 7038 and 7046 is 24794874.