Least Common Multiple of 9076 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 9076 and 9082 the smallest integer that is 41214116 that is divisible by both numbers.

Least Common Multiple (LCM) of 9076 and 9082 is 41214116.

LCM(9076,9082) = 41214116

LCM of 9076 and 9082

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

LCM of:
and

Least Common Multiple of 9076 and 9082

LCM of 9076 and 9082 is 41214116

Least common multiple can be found by multiplying the highest exponent prime factors of 9076 and 9082. First we will calculate the prime factors of 9076 and 9082.

Prime Factorization of 9076


2 9076
2 4538
2269 2269
1

Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:

9076 = 22×22691

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 9076 and 9082.

LCM(9076,9082) = 22×191×2391×22691
LCM(9076,9082) = 41214116

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1, 2, 4, 2269, 4538, 9076

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 9076 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 9076 and 9082, than apply into the LCM equation.

GCF(9076,9082) = 2
LCM(9076,9082) = ( 9076 × 9082) / 2
LCM(9076,9082) = 82428232 / 2
LCM(9076,9082) = 41214116

Properties of LCM 9076 and 9082

(i) The LCM of 9082 and 9076 is associative

LCM of 9076 and 9082 = LCM of 9082 and 9076

Related Least Common Multiples of 9076

Related Least Common Multiples of 9082

Frequently Asked Questions on LCM of 9076 and 9082

1. What is the LCM of 9076 and 9082?

Answer: LCM of 9076 and 9082 is 41214116.

2. What are the Factors of 9076?

Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.

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 9076 and 9082?

Answer:

Least Common Multiple of 9076 and 9082 = 41214116

Step 1: Find the prime factorization of 9076

9076 = 2 x 2 x 2269

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 = 41214116 = 2 x 2 x 19 x 239 x 2269

Step 4: Therefore, the least common multiple of 9076 and 9082 is 41214116.