Least Common Multiple of 298 and 306

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 306 the smallest integer that is 45594 that is divisible by both numbers.

Least Common Multiple (LCM) of 298 and 306 is 45594.

LCM(298,306) = 45594

LCM of 298 and 306

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

LCM of:
and

Least Common Multiple of 298 and 306

LCM of 298 and 306 is 45594

Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 306. First we will calculate the prime factors of 298 and 306.

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 306


2 306
3 153
3 51
17 17
1

Prime factors of 306 are 2, 3,17. Prime factorization of 306 in exponential form is:

306 = 21×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 306.

LCM(298,306) = 21×32×171×1491
LCM(298,306) = 45594

Factors of 298

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

1, 2, 149, 298

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Least Common Multiple of 298 and 306 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 306, than apply into the LCM equation.

GCF(298,306) = 2
LCM(298,306) = ( 298 × 306) / 2
LCM(298,306) = 91188 / 2
LCM(298,306) = 45594

Properties of LCM 298 and 306

(i) The LCM of 306 and 298 is associative

LCM of 298 and 306 = LCM of 306 and 298

Related Least Common Multiples of 298

Related Least Common Multiples of 306

Frequently Asked Questions on LCM of 298 and 306

1. What is the LCM of 298 and 306?

Answer: LCM of 298 and 306 is 45594.

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 306?

Answer: Factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. There are 12 integers that are factors of 306. The greatest factor of 306 is 306.

4. How to Find the LCM of 298 and 306?

Answer:

Least Common Multiple of 298 and 306 = 45594

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 306

306 = 2 x 3 x 3 x 17

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

LCM = 45594 = 2 x 3 x 3 x 17 x 149

Step 4: Therefore, the least common multiple of 298 and 306 is 45594.