Least Common Multiple of 298 and 304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 298 and 304 the smallest integer that is 45296 that is divisible by both numbers.

Least Common Multiple (LCM) of 298 and 304 is 45296.

LCM(298,304) = 45296

LCM of 298 and 304

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

LCM of:
and

Least Common Multiple of 298 and 304

LCM of 298 and 304 is 45296

Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 304. First we will calculate the prime factors of 298 and 304.

Prime Factorization of 298


2 298
149 149
1

Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:

298 = 21×1491

Prime Factorization of 304


2 304
2 152
2 76
2 38
19 19
1

Prime factors of 304 are 2,19. Prime factorization of 304 in exponential form is:

304 = 24×191

Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 304.

LCM(298,304) = 24×191×1491
LCM(298,304) = 45296

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Least Common Multiple of 298 and 304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 298 and 304, than apply into the LCM equation.

GCF(298,304) = 2
LCM(298,304) = ( 298 × 304) / 2
LCM(298,304) = 90592 / 2
LCM(298,304) = 45296

Properties of LCM 298 and 304

(i) The LCM of 304 and 298 is associative

LCM of 298 and 304 = LCM of 304 and 298

Related Least Common Multiples of 298

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 298 and 304

1. What is the LCM of 298 and 304?

Answer: LCM of 298 and 304 is 45296.

2. What are the Factors of 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

3. What are the Factors of 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

4. How to Find the LCM of 298 and 304?

Answer:

Least Common Multiple of 298 and 304 = 45296

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

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

LCM = 45296 = 2 x 2 x 2 x 2 x 19 x 149

Step 4: Therefore, the least common multiple of 298 and 304 is 45296.