Least Common Multiple of 995 and 1002

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 1002 the smallest integer that is 996990 that is divisible by both numbers.

Least Common Multiple (LCM) of 995 and 1002 is 996990.

LCM(995,1002) = 996990

LCM of 995 and 1002

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

LCM of:
and

Least Common Multiple of 995 and 1002

LCM of 995 and 1002 is 996990

Least common multiple can be found by multiplying the highest exponent prime factors of 995 and 1002. First we will calculate the prime factors of 995 and 1002.

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 1002


2 1002
3 501
167 167
1

Prime factors of 1002 are 2, 3,167. Prime factorization of 1002 in exponential form is:

1002 = 21×31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 995 and 1002.

LCM(995,1002) = 21×31×51×1671×1991
LCM(995,1002) = 996990

Factors of 995

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

1, 5, 199, 995

Factors of 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1, 2, 3, 6, 167, 334, 501, 1002

Least Common Multiple of 995 and 1002 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 1002, than apply into the LCM equation.

GCF(995,1002) = 1
LCM(995,1002) = ( 995 × 1002) / 1
LCM(995,1002) = 996990 / 1
LCM(995,1002) = 996990

Properties of LCM 995 and 1002

(i) The LCM of 1002 and 995 is associative

LCM of 995 and 1002 = LCM of 1002 and 995

Related Least Common Multiples of 995

Related Least Common Multiples of 1002

Frequently Asked Questions on LCM of 995 and 1002

1. What is the LCM of 995 and 1002?

Answer: LCM of 995 and 1002 is 996990.

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 1002?

Answer: Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. There are 8 integers that are factors of 1002. The greatest factor of 1002 is 1002.

4. How to Find the LCM of 995 and 1002?

Answer:

Least Common Multiple of 995 and 1002 = 996990

Step 1: Find the prime factorization of 995

995 = 5 x 199

Step 2: Find the prime factorization of 1002

1002 = 2 x 3 x 167

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

LCM = 996990 = 2 x 3 x 5 x 167 x 199

Step 4: Therefore, the least common multiple of 995 and 1002 is 996990.