Least Common Multiple of 295 and 303

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 303 the smallest integer that is 89385 that is divisible by both numbers.

Least Common Multiple (LCM) of 295 and 303 is 89385.

LCM(295,303) = 89385

LCM of 295 and 303

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

LCM of:
and

Least Common Multiple of 295 and 303

LCM of 295 and 303 is 89385

Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 303. First we will calculate the prime factors of 295 and 303.

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 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 295 and 303.

LCM(295,303) = 31×51×591×1011
LCM(295,303) = 89385

Factors of 295

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

1, 5, 59, 295

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Least Common Multiple of 295 and 303 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 303, than apply into the LCM equation.

GCF(295,303) = 1
LCM(295,303) = ( 295 × 303) / 1
LCM(295,303) = 89385 / 1
LCM(295,303) = 89385

Properties of LCM 295 and 303

(i) The LCM of 303 and 295 is associative

LCM of 295 and 303 = LCM of 303 and 295

Related Least Common Multiples of 295

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 295 and 303

1. What is the LCM of 295 and 303?

Answer: LCM of 295 and 303 is 89385.

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 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the LCM of 295 and 303?

Answer:

Least Common Multiple of 295 and 303 = 89385

Step 1: Find the prime factorization of 295

295 = 5 x 59

Step 2: Find the prime factorization of 303

303 = 3 x 101

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

LCM = 89385 = 3 x 5 x 59 x 101

Step 4: Therefore, the least common multiple of 295 and 303 is 89385.