Least Common Multiple of 294 and 298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 294 and 298 the smallest integer that is 43806 that is divisible by both numbers.

Least Common Multiple (LCM) of 294 and 298 is 43806.

LCM(294,298) = 43806

LCM of 294 and 298

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

LCM of:
and

Least Common Multiple of 294 and 298

LCM of 294 and 298 is 43806

Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 298. First we will calculate the prime factors of 294 and 298.

Prime Factorization of 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 294 and 298.

LCM(294,298) = 21×31×72×1491
LCM(294,298) = 43806

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Factors of 298

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

1, 2, 149, 298

Least Common Multiple of 294 and 298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 298, than apply into the LCM equation.

GCF(294,298) = 2
LCM(294,298) = ( 294 × 298) / 2
LCM(294,298) = 87612 / 2
LCM(294,298) = 43806

Properties of LCM 294 and 298

(i) The LCM of 298 and 294 is associative

LCM of 294 and 298 = LCM of 298 and 294

Related Least Common Multiples of 294

Related Least Common Multiples of 298

Frequently Asked Questions on LCM of 294 and 298

1. What is the LCM of 294 and 298?

Answer: LCM of 294 and 298 is 43806.

2. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

3. 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.

4. How to Find the LCM of 294 and 298?

Answer:

Least Common Multiple of 294 and 298 = 43806

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 298

298 = 2 x 149

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

LCM = 43806 = 2 x 3 x 7 x 7 x 149

Step 4: Therefore, the least common multiple of 294 and 298 is 43806.