Least Common Multiple of 9292 and 9298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9292 and 9298 the smallest integer that is 43198508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9292 and 9298 is 43198508.

LCM(9292,9298) = 43198508

LCM of 9292 and 9298

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

LCM of:
and

Least Common Multiple of 9292 and 9298

LCM of 9292 and 9298 is 43198508

Least common multiple can be found by multiplying the highest exponent prime factors of 9292 and 9298. First we will calculate the prime factors of 9292 and 9298.

Prime Factorization of 9292


2 9292
2 4646
23 2323
101 101
1

Prime factors of 9292 are 2, 23,101. Prime factorization of 9292 in exponential form is:

9292 = 22×231×1011

Prime Factorization of 9298


2 9298
4649 4649
1

Prime factors of 9298 are 2,4649. Prime factorization of 9298 in exponential form is:

9298 = 21×46491

Now multiplying the highest exponent prime factors to calculate the LCM of 9292 and 9298.

LCM(9292,9298) = 22×231×1011×46491
LCM(9292,9298) = 43198508

Factors of 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1, 2, 4649, 9298

Least Common Multiple of 9292 and 9298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9292 and 9298, than apply into the LCM equation.

GCF(9292,9298) = 2
LCM(9292,9298) = ( 9292 × 9298) / 2
LCM(9292,9298) = 86397016 / 2
LCM(9292,9298) = 43198508

Properties of LCM 9292 and 9298

(i) The LCM of 9298 and 9292 is associative

LCM of 9292 and 9298 = LCM of 9298 and 9292

Related Least Common Multiples of 9292

Related Least Common Multiples of 9298

Frequently Asked Questions on LCM of 9292 and 9298

1. What is the LCM of 9292 and 9298?

Answer: LCM of 9292 and 9298 is 43198508.

2. What are the Factors of 9292?

Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.

3. What are the Factors of 9298?

Answer: Factors of 9298 are 1, 2, 4649, 9298. There are 4 integers that are factors of 9298. The greatest factor of 9298 is 9298.

4. How to Find the LCM of 9292 and 9298?

Answer:

Least Common Multiple of 9292 and 9298 = 43198508

Step 1: Find the prime factorization of 9292

9292 = 2 x 2 x 23 x 101

Step 2: Find the prime factorization of 9298

9298 = 2 x 4649

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

LCM = 43198508 = 2 x 2 x 23 x 101 x 4649

Step 4: Therefore, the least common multiple of 9292 and 9298 is 43198508.