Least Common Multiple of 997 and 1005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 997 and 1005 the smallest integer that is 1001985 that is divisible by both numbers.

Least Common Multiple (LCM) of 997 and 1005 is 1001985.

LCM(997,1005) = 1001985

LCM of 997 and 1005

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

LCM of:
and

Least Common Multiple of 997 and 1005

LCM of 997 and 1005 is 1001985

Least common multiple can be found by multiplying the highest exponent prime factors of 997 and 1005. First we will calculate the prime factors of 997 and 1005.

Prime Factorization of 997


997 997
1

Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:

997 = 9971

Prime Factorization of 1005


3 1005
5 335
67 67
1

Prime factors of 1005 are 3, 5,67. Prime factorization of 1005 in exponential form is:

1005 = 31×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 997 and 1005.

LCM(997,1005) = 31×51×671×9971
LCM(997,1005) = 1001985

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1, 997

Factors of 1005

List of positive integer factors of 1005 that divides 1005 without a remainder.

1, 3, 5, 15, 67, 201, 335, 1005

Least Common Multiple of 997 and 1005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 997 and 1005, than apply into the LCM equation.

GCF(997,1005) = 1
LCM(997,1005) = ( 997 × 1005) / 1
LCM(997,1005) = 1001985 / 1
LCM(997,1005) = 1001985

Properties of LCM 997 and 1005

(i) The LCM of 1005 and 997 is associative

LCM of 997 and 1005 = LCM of 1005 and 997

Related Least Common Multiples of 997

Related Least Common Multiples of 1005

Frequently Asked Questions on LCM of 997 and 1005

1. What is the LCM of 997 and 1005?

Answer: LCM of 997 and 1005 is 1001985.

2. What are the Factors of 997?

Answer: Factors of 997 are 1, 997. There are 2 integers that are factors of 997. The greatest factor of 997 is 997.

3. What are the Factors of 1005?

Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.

4. How to Find the LCM of 997 and 1005?

Answer:

Least Common Multiple of 997 and 1005 = 1001985

Step 1: Find the prime factorization of 997

997 = 997

Step 2: Find the prime factorization of 1005

1005 = 3 x 5 x 67

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

LCM = 1001985 = 3 x 5 x 67 x 997

Step 4: Therefore, the least common multiple of 997 and 1005 is 1001985.