Least Common Multiple of 995 and 1000

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 1000 the smallest integer that is 199000 that is divisible by both numbers.

Least Common Multiple (LCM) of 995 and 1000 is 199000.

LCM(995,1000) = 199000

LCM of 995 and 1000

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

LCM of:
and

Least Common Multiple of 995 and 1000

LCM of 995 and 1000 is 199000

Least common multiple can be found by multiplying the highest exponent prime factors of 995 and 1000. First we will calculate the prime factors of 995 and 1000.

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 1000


2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 1000 are 2,5. Prime factorization of 1000 in exponential form is:

1000 = 23×53

Now multiplying the highest exponent prime factors to calculate the LCM of 995 and 1000.

LCM(995,1000) = 23×53×1991
LCM(995,1000) = 199000

Factors of 995

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

1, 5, 199, 995

Factors of 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

Least Common Multiple of 995 and 1000 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 1000, than apply into the LCM equation.

GCF(995,1000) = 5
LCM(995,1000) = ( 995 × 1000) / 5
LCM(995,1000) = 995000 / 5
LCM(995,1000) = 199000

Properties of LCM 995 and 1000

(i) The LCM of 1000 and 995 is associative

LCM of 995 and 1000 = LCM of 1000 and 995

Frequently Asked Questions on LCM of 995 and 1000

1. What is the LCM of 995 and 1000?

Answer: LCM of 995 and 1000 is 199000.

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 1000?

Answer: Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There are 16 integers that are factors of 1000. The greatest factor of 1000 is 1000.

4. How to Find the LCM of 995 and 1000?

Answer:

Least Common Multiple of 995 and 1000 = 199000

Step 1: Find the prime factorization of 995

995 = 5 x 199

Step 2: Find the prime factorization of 1000

1000 = 2 x 2 x 2 x 5 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 = 199000 = 2 x 2 x 2 x 5 x 5 x 5 x 199

Step 4: Therefore, the least common multiple of 995 and 1000 is 199000.