Least Common Multiple of 292 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 292 and 296 the smallest integer that is 21608 that is divisible by both numbers.

Least Common Multiple (LCM) of 292 and 296 is 21608.

LCM(292,296) = 21608

LCM of 292 and 296

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

LCM of:
and

Least Common Multiple of 292 and 296

LCM of 292 and 296 is 21608

Least common multiple can be found by multiplying the highest exponent prime factors of 292 and 296. First we will calculate the prime factors of 292 and 296.

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

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 292 and 296.

LCM(292,296) = 23×371×731
LCM(292,296) = 21608

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 292 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 292 and 296, than apply into the LCM equation.

GCF(292,296) = 4
LCM(292,296) = ( 292 × 296) / 4
LCM(292,296) = 86432 / 4
LCM(292,296) = 21608

Properties of LCM 292 and 296

(i) The LCM of 296 and 292 is associative

LCM of 292 and 296 = LCM of 296 and 292

Related Least Common Multiples of 292

Related Least Common Multiples of 296

Frequently Asked Questions on LCM of 292 and 296

1. What is the LCM of 292 and 296?

Answer: LCM of 292 and 296 is 21608.

2. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

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 292 and 296?

Answer:

Least Common Multiple of 292 and 296 = 21608

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

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 = 21608 = 2 x 2 x 2 x 37 x 73

Step 4: Therefore, the least common multiple of 292 and 296 is 21608.