Least Common Multiple of 294 and 296

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 296 the smallest integer that is 43512 that is divisible by both numbers.

Least Common Multiple (LCM) of 294 and 296 is 43512.

LCM(294,296) = 43512

LCM of 294 and 296

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

LCM of:
and

Least Common Multiple of 294 and 296

LCM of 294 and 296 is 43512

Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 296. First we will calculate the prime factors of 294 and 296.

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 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

Now multiplying the highest exponent prime factors to calculate the LCM of 294 and 296.

LCM(294,296) = 23×31×72×371
LCM(294,296) = 43512

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 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Least Common Multiple of 294 and 296 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 296, than apply into the LCM equation.

GCF(294,296) = 2
LCM(294,296) = ( 294 × 296) / 2
LCM(294,296) = 87024 / 2
LCM(294,296) = 43512

Properties of LCM 294 and 296

(i) The LCM of 296 and 294 is associative

LCM of 294 and 296 = LCM of 296 and 294

Related Least Common Multiples of 294

Related Least Common Multiples of 296

Frequently Asked Questions on LCM of 294 and 296

1. What is the LCM of 294 and 296?

Answer: LCM of 294 and 296 is 43512.

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 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

4. How to Find the LCM of 294 and 296?

Answer:

Least Common Multiple of 294 and 296 = 43512

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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

LCM = 43512 = 2 x 2 x 2 x 3 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 294 and 296 is 43512.