Least Common Multiple of 295 and 300

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 300 the smallest integer that is 17700 that is divisible by both numbers.

Least Common Multiple (LCM) of 295 and 300 is 17700.

LCM(295,300) = 17700

LCM of 295 and 300

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

LCM of:
and

Least Common Multiple of 295 and 300

LCM of 295 and 300 is 17700

Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 300. First we will calculate the prime factors of 295 and 300.

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 300


2 300
2 150
3 75
5 25
5 5
1

Prime factors of 300 are 2, 3,5. Prime factorization of 300 in exponential form is:

300 = 22×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 295 and 300.

LCM(295,300) = 22×31×52×591
LCM(295,300) = 17700

Factors of 295

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

1, 5, 59, 295

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Least Common Multiple of 295 and 300 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 300, than apply into the LCM equation.

GCF(295,300) = 5
LCM(295,300) = ( 295 × 300) / 5
LCM(295,300) = 88500 / 5
LCM(295,300) = 17700

Properties of LCM 295 and 300

(i) The LCM of 300 and 295 is associative

LCM of 295 and 300 = LCM of 300 and 295

Related Least Common Multiples of 295

Related Least Common Multiples of 300

Frequently Asked Questions on LCM of 295 and 300

1. What is the LCM of 295 and 300?

Answer: LCM of 295 and 300 is 17700.

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 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

4. How to Find the LCM of 295 and 300?

Answer:

Least Common Multiple of 295 and 300 = 17700

Step 1: Find the prime factorization of 295

295 = 5 x 59

Step 2: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

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

LCM = 17700 = 2 x 2 x 3 x 5 x 5 x 59

Step 4: Therefore, the least common multiple of 295 and 300 is 17700.