Least Common Multiple of 298 and 303

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 303 the smallest integer that is 90294 that is divisible by both numbers.

Least Common Multiple (LCM) of 298 and 303 is 90294.

LCM(298,303) = 90294

LCM of 298 and 303

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

LCM of:
and

Least Common Multiple of 298 and 303

LCM of 298 and 303 is 90294

Least common multiple can be found by multiplying the highest exponent prime factors of 298 and 303. First we will calculate the prime factors of 298 and 303.

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 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 298 and 303.

LCM(298,303) = 21×31×1011×1491
LCM(298,303) = 90294

Factors of 298

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

1, 2, 149, 298

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Least Common Multiple of 298 and 303 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 303, than apply into the LCM equation.

GCF(298,303) = 1
LCM(298,303) = ( 298 × 303) / 1
LCM(298,303) = 90294 / 1
LCM(298,303) = 90294

Properties of LCM 298 and 303

(i) The LCM of 303 and 298 is associative

LCM of 298 and 303 = LCM of 303 and 298

Related Least Common Multiples of 298

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 298 and 303

1. What is the LCM of 298 and 303?

Answer: LCM of 298 and 303 is 90294.

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 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the LCM of 298 and 303?

Answer:

Least Common Multiple of 298 and 303 = 90294

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 303

303 = 3 x 101

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

LCM = 90294 = 2 x 3 x 101 x 149

Step 4: Therefore, the least common multiple of 298 and 303 is 90294.