Least Common Multiple of 295 and 301

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 301 the smallest integer that is 88795 that is divisible by both numbers.

Least Common Multiple (LCM) of 295 and 301 is 88795.

LCM(295,301) = 88795

LCM of 295 and 301

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

LCM of:
and

Least Common Multiple of 295 and 301

LCM of 295 and 301 is 88795

Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 301. First we will calculate the prime factors of 295 and 301.

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 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 295 and 301.

LCM(295,301) = 51×71×431×591
LCM(295,301) = 88795

Factors of 295

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

1, 5, 59, 295

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Least Common Multiple of 295 and 301 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 301, than apply into the LCM equation.

GCF(295,301) = 1
LCM(295,301) = ( 295 × 301) / 1
LCM(295,301) = 88795 / 1
LCM(295,301) = 88795

Properties of LCM 295 and 301

(i) The LCM of 301 and 295 is associative

LCM of 295 and 301 = LCM of 301 and 295

Related Least Common Multiples of 295

Related Least Common Multiples of 301

Frequently Asked Questions on LCM of 295 and 301

1. What is the LCM of 295 and 301?

Answer: LCM of 295 and 301 is 88795.

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 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

4. How to Find the LCM of 295 and 301?

Answer:

Least Common Multiple of 295 and 301 = 88795

Step 1: Find the prime factorization of 295

295 = 5 x 59

Step 2: Find the prime factorization of 301

301 = 7 x 43

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

LCM = 88795 = 5 x 7 x 43 x 59

Step 4: Therefore, the least common multiple of 295 and 301 is 88795.