Least Common Multiple of 9034 and 9038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9034 and 9038 the smallest integer that is 40824646 that is divisible by both numbers.

Least Common Multiple (LCM) of 9034 and 9038 is 40824646.

LCM(9034,9038) = 40824646

LCM of 9034 and 9038

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

LCM of:
and

Least Common Multiple of 9034 and 9038

LCM of 9034 and 9038 is 40824646

Least common multiple can be found by multiplying the highest exponent prime factors of 9034 and 9038. First we will calculate the prime factors of 9034 and 9038.

Prime Factorization of 9034


2 9034
4517 4517
1

Prime factors of 9034 are 2,4517. Prime factorization of 9034 in exponential form is:

9034 = 21×45171

Prime Factorization of 9038


2 9038
4519 4519
1

Prime factors of 9038 are 2,4519. Prime factorization of 9038 in exponential form is:

9038 = 21×45191

Now multiplying the highest exponent prime factors to calculate the LCM of 9034 and 9038.

LCM(9034,9038) = 21×45171×45191
LCM(9034,9038) = 40824646

Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1, 2, 4517, 9034

Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1, 2, 4519, 9038

Least Common Multiple of 9034 and 9038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9034 and 9038, than apply into the LCM equation.

GCF(9034,9038) = 2
LCM(9034,9038) = ( 9034 × 9038) / 2
LCM(9034,9038) = 81649292 / 2
LCM(9034,9038) = 40824646

Properties of LCM 9034 and 9038

(i) The LCM of 9038 and 9034 is associative

LCM of 9034 and 9038 = LCM of 9038 and 9034

Related Least Common Multiples of 9034

Related Least Common Multiples of 9038

Frequently Asked Questions on LCM of 9034 and 9038

1. What is the LCM of 9034 and 9038?

Answer: LCM of 9034 and 9038 is 40824646.

2. What are the Factors of 9034?

Answer: Factors of 9034 are 1, 2, 4517, 9034. There are 4 integers that are factors of 9034. The greatest factor of 9034 is 9034.

3. What are the Factors of 9038?

Answer: Factors of 9038 are 1, 2, 4519, 9038. There are 4 integers that are factors of 9038. The greatest factor of 9038 is 9038.

4. How to Find the LCM of 9034 and 9038?

Answer:

Least Common Multiple of 9034 and 9038 = 40824646

Step 1: Find the prime factorization of 9034

9034 = 2 x 4517

Step 2: Find the prime factorization of 9038

9038 = 2 x 4519

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

LCM = 40824646 = 2 x 4517 x 4519

Step 4: Therefore, the least common multiple of 9034 and 9038 is 40824646.