Least Common Multiple of 295 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 295 and 296 the smallest integer that is 87320 that is divisible by both numbers.

Least Common Multiple (LCM) of 295 and 296 is 87320.

LCM(295,296) = 87320

LCM of 295 and 296

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

LCM of:
and

Least Common Multiple of 295 and 296

LCM of 295 and 296 is 87320

Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 296. First we will calculate the prime factors of 295 and 296.

Prime Factorization of 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

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 295 and 296.

LCM(295,296) = 23×51×371×591
LCM(295,296) = 87320

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

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 295 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 295 and 296, than apply into the LCM equation.

GCF(295,296) = 1
LCM(295,296) = ( 295 × 296) / 1
LCM(295,296) = 87320 / 1
LCM(295,296) = 87320

Properties of LCM 295 and 296

(i) The LCM of 296 and 295 is associative

LCM of 295 and 296 = LCM of 296 and 295

Related Least Common Multiples of 295

Related Least Common Multiples of 296

Frequently Asked Questions on LCM of 295 and 296

1. What is the LCM of 295 and 296?

Answer: LCM of 295 and 296 is 87320.

2. What are the Factors of 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

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 295 and 296?

Answer:

Least Common Multiple of 295 and 296 = 87320

Step 1: Find the prime factorization of 295

295 = 5 x 59

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 = 87320 = 2 x 2 x 2 x 5 x 37 x 59

Step 4: Therefore, the least common multiple of 295 and 296 is 87320.