Least Common Multiple of 9078 and 9082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9078 and 9082 the smallest integer that is 41223198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9078 and 9082 is 41223198.

LCM(9078,9082) = 41223198

LCM of 9078 and 9082

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

LCM of:
and

Least Common Multiple of 9078 and 9082

LCM of 9078 and 9082 is 41223198

Least common multiple can be found by multiplying the highest exponent prime factors of 9078 and 9082. First we will calculate the prime factors of 9078 and 9082.

Prime Factorization of 9078


2 9078
3 4539
17 1513
89 89
1

Prime factors of 9078 are 2, 3, 17,89. Prime factorization of 9078 in exponential form is:

9078 = 21×31×171×891

Prime Factorization of 9082


2 9082
19 4541
239 239
1

Prime factors of 9082 are 2, 19,239. Prime factorization of 9082 in exponential form is:

9082 = 21×191×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 9078 and 9082.

LCM(9078,9082) = 21×31×171×191×891×2391
LCM(9078,9082) = 41223198

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078

Factors of 9082

List of positive integer factors of 9082 that divides 9082 without a remainder.

1, 2, 19, 38, 239, 478, 4541, 9082

Least Common Multiple of 9078 and 9082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9078 and 9082, than apply into the LCM equation.

GCF(9078,9082) = 2
LCM(9078,9082) = ( 9078 × 9082) / 2
LCM(9078,9082) = 82446396 / 2
LCM(9078,9082) = 41223198

Properties of LCM 9078 and 9082

(i) The LCM of 9082 and 9078 is associative

LCM of 9078 and 9082 = LCM of 9082 and 9078

Related Least Common Multiples of 9078

Related Least Common Multiples of 9082

Frequently Asked Questions on LCM of 9078 and 9082

1. What is the LCM of 9078 and 9082?

Answer: LCM of 9078 and 9082 is 41223198.

2. What are the Factors of 9078?

Answer: Factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078. There are 16 integers that are factors of 9078. The greatest factor of 9078 is 9078.

3. What are the Factors of 9082?

Answer: Factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082. There are 8 integers that are factors of 9082. The greatest factor of 9082 is 9082.

4. How to Find the LCM of 9078 and 9082?

Answer:

Least Common Multiple of 9078 and 9082 = 41223198

Step 1: Find the prime factorization of 9078

9078 = 2 x 3 x 17 x 89

Step 2: Find the prime factorization of 9082

9082 = 2 x 19 x 239

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

LCM = 41223198 = 2 x 3 x 17 x 19 x 89 x 239

Step 4: Therefore, the least common multiple of 9078 and 9082 is 41223198.