Least Common Multiple of 2298 and 2304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2298 and 2304 the smallest integer that is 882432 that is divisible by both numbers.

Least Common Multiple (LCM) of 2298 and 2304 is 882432.

LCM(2298,2304) = 882432

LCM of 2298 and 2304

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

LCM of:
and

Least Common Multiple of 2298 and 2304

LCM of 2298 and 2304 is 882432

Least common multiple can be found by multiplying the highest exponent prime factors of 2298 and 2304. First we will calculate the prime factors of 2298 and 2304.

Prime Factorization of 2298


2 2298
3 1149
383 383
1

Prime factors of 2298 are 2, 3,383. Prime factorization of 2298 in exponential form is:

2298 = 21×31×3831

Prime Factorization of 2304


2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 2304 are 2,3. Prime factorization of 2304 in exponential form is:

2304 = 28×32

Now multiplying the highest exponent prime factors to calculate the LCM of 2298 and 2304.

LCM(2298,2304) = 28×32×3831
LCM(2298,2304) = 882432

Factors of 2298

List of positive integer factors of 2298 that divides 2298 without a remainder.

1, 2, 3, 6, 383, 766, 1149, 2298

Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304

Least Common Multiple of 2298 and 2304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2298 and 2304, than apply into the LCM equation.

GCF(2298,2304) = 6
LCM(2298,2304) = ( 2298 × 2304) / 6
LCM(2298,2304) = 5294592 / 6
LCM(2298,2304) = 882432

Properties of LCM 2298 and 2304

(i) The LCM of 2304 and 2298 is associative

LCM of 2298 and 2304 = LCM of 2304 and 2298

Related Least Common Multiples of 2298

Related Least Common Multiples of 2304

Frequently Asked Questions on LCM of 2298 and 2304

1. What is the LCM of 2298 and 2304?

Answer: LCM of 2298 and 2304 is 882432.

2. What are the Factors of 2298?

Answer: Factors of 2298 are 1, 2, 3, 6, 383, 766, 1149, 2298. There are 8 integers that are factors of 2298. The greatest factor of 2298 is 2298.

3. What are the Factors of 2304?

Answer: Factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304. There are 27 integers that are factors of 2304. The greatest factor of 2304 is 2304.

4. How to Find the LCM of 2298 and 2304?

Answer:

Least Common Multiple of 2298 and 2304 = 882432

Step 1: Find the prime factorization of 2298

2298 = 2 x 3 x 383

Step 2: Find the prime factorization of 2304

2304 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 882432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 383

Step 4: Therefore, the least common multiple of 2298 and 2304 is 882432.