Least Common Multiple of 294 and 299

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 299 the smallest integer that is 87906 that is divisible by both numbers.

Least Common Multiple (LCM) of 294 and 299 is 87906.

LCM(294,299) = 87906

LCM of 294 and 299

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

LCM of:
and

Least Common Multiple of 294 and 299

LCM of 294 and 299 is 87906

Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 299. First we will calculate the prime factors of 294 and 299.

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 299


13 299
23 23
1

Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:

299 = 131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 294 and 299.

LCM(294,299) = 21×31×72×131×231
LCM(294,299) = 87906

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 299

List of positive integer factors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Least Common Multiple of 294 and 299 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 299, than apply into the LCM equation.

GCF(294,299) = 1
LCM(294,299) = ( 294 × 299) / 1
LCM(294,299) = 87906 / 1
LCM(294,299) = 87906

Properties of LCM 294 and 299

(i) The LCM of 299 and 294 is associative

LCM of 294 and 299 = LCM of 299 and 294

Related Least Common Multiples of 294

Related Least Common Multiples of 299

Frequently Asked Questions on LCM of 294 and 299

1. What is the LCM of 294 and 299?

Answer: LCM of 294 and 299 is 87906.

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 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

4. How to Find the LCM of 294 and 299?

Answer:

Least Common Multiple of 294 and 299 = 87906

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 299

299 = 13 x 23

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

LCM = 87906 = 2 x 3 x 7 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 294 and 299 is 87906.