Least Common Multiple of 995 and 999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 995 and 999 the smallest integer that is 994005 that is divisible by both numbers.

Least Common Multiple (LCM) of 995 and 999 is 994005.

LCM(995,999) = 994005

LCM of 995 and 999

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

LCM of:
and

Least Common Multiple of 995 and 999

LCM of 995 and 999 is 994005

Least common multiple can be found by multiplying the highest exponent prime factors of 995 and 999. First we will calculate the prime factors of 995 and 999.

Prime Factorization of 995


5 995
199 199
1

Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:

995 = 51×1991

Prime Factorization of 999


3 999
3 333
3 111
37 37
1

Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:

999 = 33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 995 and 999.

LCM(995,999) = 33×51×371×1991
LCM(995,999) = 994005

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Least Common Multiple of 995 and 999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 995 and 999, than apply into the LCM equation.

GCF(995,999) = 1
LCM(995,999) = ( 995 × 999) / 1
LCM(995,999) = 994005 / 1
LCM(995,999) = 994005

Properties of LCM 995 and 999

(i) The LCM of 999 and 995 is associative

LCM of 995 and 999 = LCM of 999 and 995

Related Least Common Multiples of 995

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 995 and 999

1. What is the LCM of 995 and 999?

Answer: LCM of 995 and 999 is 994005.

2. What are the Factors of 995?

Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.

3. What are the Factors of 999?

Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.

4. How to Find the LCM of 995 and 999?

Answer:

Least Common Multiple of 995 and 999 = 994005

Step 1: Find the prime factorization of 995

995 = 5 x 199

Step 2: Find the prime factorization of 999

999 = 3 x 3 x 3 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 = 994005 = 3 x 3 x 3 x 5 x 37 x 199

Step 4: Therefore, the least common multiple of 995 and 999 is 994005.