Least Common Multiple of 298 and 301

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 301 the smallest integer that is 89698 that is divisible by both numbers.

Least Common Multiple (LCM) of 298 and 301 is 89698.

LCM(298,301) = 89698

LCM of 298 and 301

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

LCM of:
and

Least Common Multiple of 298 and 301

LCM of 298 and 301 is 89698

Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 301. First we will calculate the prime factors of 298 and 301.

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 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 301.

LCM(298,301) = 21×71×431×1491
LCM(298,301) = 89698

Factors of 298

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

1, 2, 149, 298

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Least Common Multiple of 298 and 301 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 301, than apply into the LCM equation.

GCF(298,301) = 1
LCM(298,301) = ( 298 × 301) / 1
LCM(298,301) = 89698 / 1
LCM(298,301) = 89698

Properties of LCM 298 and 301

(i) The LCM of 301 and 298 is associative

LCM of 298 and 301 = LCM of 301 and 298

Related Least Common Multiples of 298

Related Least Common Multiples of 301

Frequently Asked Questions on LCM of 298 and 301

1. What is the LCM of 298 and 301?

Answer: LCM of 298 and 301 is 89698.

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 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

4. How to Find the LCM of 298 and 301?

Answer:

Least Common Multiple of 298 and 301 = 89698

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 301

301 = 7 x 43

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

LCM = 89698 = 2 x 7 x 43 x 149

Step 4: Therefore, the least common multiple of 298 and 301 is 89698.