Least Common Multiple of 9034 and 9042

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 9042 the smallest integer that is 40842714 that is divisible by both numbers.

Least Common Multiple (LCM) of 9034 and 9042 is 40842714.

LCM(9034,9042) = 40842714

LCM of 9034 and 9042

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

LCM of:
and

Least Common Multiple of 9034 and 9042

LCM of 9034 and 9042 is 40842714

Least common multiple can be found by multiplying the highest exponent prime factors of 9034 and 9042. First we will calculate the prime factors of 9034 and 9042.

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 9042


2 9042
3 4521
11 1507
137 137
1

Prime factors of 9042 are 2, 3, 11,137. Prime factorization of 9042 in exponential form is:

9042 = 21×31×111×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9034 and 9042.

LCM(9034,9042) = 21×31×111×1371×45171
LCM(9034,9042) = 40842714

Factors of 9034

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

1, 2, 4517, 9034

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042

Least Common Multiple of 9034 and 9042 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 9042, than apply into the LCM equation.

GCF(9034,9042) = 2
LCM(9034,9042) = ( 9034 × 9042) / 2
LCM(9034,9042) = 81685428 / 2
LCM(9034,9042) = 40842714

Properties of LCM 9034 and 9042

(i) The LCM of 9042 and 9034 is associative

LCM of 9034 and 9042 = LCM of 9042 and 9034

Related Least Common Multiples of 9034

Related Least Common Multiples of 9042

Frequently Asked Questions on LCM of 9034 and 9042

1. What is the LCM of 9034 and 9042?

Answer: LCM of 9034 and 9042 is 40842714.

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 9042?

Answer: Factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042. There are 16 integers that are factors of 9042. The greatest factor of 9042 is 9042.

4. How to Find the LCM of 9034 and 9042?

Answer:

Least Common Multiple of 9034 and 9042 = 40842714

Step 1: Find the prime factorization of 9034

9034 = 2 x 4517

Step 2: Find the prime factorization of 9042

9042 = 2 x 3 x 11 x 137

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

LCM = 40842714 = 2 x 3 x 11 x 137 x 4517

Step 4: Therefore, the least common multiple of 9034 and 9042 is 40842714.