Least Common Multiple of 298 and 300

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 300 the smallest integer that is 44700 that is divisible by both numbers.

Least Common Multiple (LCM) of 298 and 300 is 44700.

LCM(298,300) = 44700

LCM of 298 and 300

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

LCM of:
and

Least Common Multiple of 298 and 300

LCM of 298 and 300 is 44700

Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 300. First we will calculate the prime factors of 298 and 300.

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 300


2 300
2 150
3 75
5 25
5 5
1

Prime factors of 300 are 2, 3,5. Prime factorization of 300 in exponential form is:

300 = 22×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 300.

LCM(298,300) = 22×31×52×1491
LCM(298,300) = 44700

Factors of 298

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

1, 2, 149, 298

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Least Common Multiple of 298 and 300 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 300, than apply into the LCM equation.

GCF(298,300) = 2
LCM(298,300) = ( 298 × 300) / 2
LCM(298,300) = 89400 / 2
LCM(298,300) = 44700

Properties of LCM 298 and 300

(i) The LCM of 300 and 298 is associative

LCM of 298 and 300 = LCM of 300 and 298

Related Least Common Multiples of 298

Related Least Common Multiples of 300

Frequently Asked Questions on LCM of 298 and 300

1. What is the LCM of 298 and 300?

Answer: LCM of 298 and 300 is 44700.

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 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

4. How to Find the LCM of 298 and 300?

Answer:

Least Common Multiple of 298 and 300 = 44700

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

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

LCM = 44700 = 2 x 2 x 3 x 5 x 5 x 149

Step 4: Therefore, the least common multiple of 298 and 300 is 44700.