Least Common Multiple of 9042 and 9049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9042 and 9049 the smallest integer that is 81821058 that is divisible by both numbers.

Least Common Multiple (LCM) of 9042 and 9049 is 81821058.

LCM(9042,9049) = 81821058

LCM of 9042 and 9049

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

LCM of:
and

Least Common Multiple of 9042 and 9049

LCM of 9042 and 9049 is 81821058

Least common multiple can be found by multiplying the highest exponent prime factors of 9042 and 9049. First we will calculate the prime factors of 9042 and 9049.

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

Prime Factorization of 9049


9049 9049
1

Prime factors of 9049 are 9049. Prime factorization of 9049 in exponential form is:

9049 = 90491

Now multiplying the highest exponent prime factors to calculate the LCM of 9042 and 9049.

LCM(9042,9049) = 21×31×111×1371×90491
LCM(9042,9049) = 81821058

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

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1, 9049

Least Common Multiple of 9042 and 9049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9042 and 9049, than apply into the LCM equation.

GCF(9042,9049) = 1
LCM(9042,9049) = ( 9042 × 9049) / 1
LCM(9042,9049) = 81821058 / 1
LCM(9042,9049) = 81821058

Properties of LCM 9042 and 9049

(i) The LCM of 9049 and 9042 is associative

LCM of 9042 and 9049 = LCM of 9049 and 9042

Related Least Common Multiples of 9042

Related Least Common Multiples of 9049

Frequently Asked Questions on LCM of 9042 and 9049

1. What is the LCM of 9042 and 9049?

Answer: LCM of 9042 and 9049 is 81821058.

2. 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.

3. What are the Factors of 9049?

Answer: Factors of 9049 are 1, 9049. There are 2 integers that are factors of 9049. The greatest factor of 9049 is 9049.

4. How to Find the LCM of 9042 and 9049?

Answer:

Least Common Multiple of 9042 and 9049 = 81821058

Step 1: Find the prime factorization of 9042

9042 = 2 x 3 x 11 x 137

Step 2: Find the prime factorization of 9049

9049 = 9049

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

LCM = 81821058 = 2 x 3 x 11 x 137 x 9049

Step 4: Therefore, the least common multiple of 9042 and 9049 is 81821058.