Least Common Multiple of 997 and 1004

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 1004 the smallest integer that is 1000988 that is divisible by both numbers.

Least Common Multiple (LCM) of 997 and 1004 is 1000988.

LCM(997,1004) = 1000988

LCM of 997 and 1004

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

LCM of:
and

Least Common Multiple of 997 and 1004

LCM of 997 and 1004 is 1000988

Least common multiple can be found by multiplying the highest exponent prime factors of 997 and 1004. First we will calculate the prime factors of 997 and 1004.

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 1004


2 1004
2 502
251 251
1

Prime factors of 1004 are 2,251. Prime factorization of 1004 in exponential form is:

1004 = 22×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 997 and 1004.

LCM(997,1004) = 22×2511×9971
LCM(997,1004) = 1000988

Factors of 997

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

1, 997

Factors of 1004

List of positive integer factors of 1004 that divides 1004 without a remainder.

1, 2, 4, 251, 502, 1004

Least Common Multiple of 997 and 1004 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 1004, than apply into the LCM equation.

GCF(997,1004) = 1
LCM(997,1004) = ( 997 × 1004) / 1
LCM(997,1004) = 1000988 / 1
LCM(997,1004) = 1000988

Properties of LCM 997 and 1004

(i) The LCM of 1004 and 997 is associative

LCM of 997 and 1004 = LCM of 1004 and 997

Related Least Common Multiples of 997

Related Least Common Multiples of 1004

Frequently Asked Questions on LCM of 997 and 1004

1. What is the LCM of 997 and 1004?

Answer: LCM of 997 and 1004 is 1000988.

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 1004?

Answer: Factors of 1004 are 1, 2, 4, 251, 502, 1004. There are 6 integers that are factors of 1004. The greatest factor of 1004 is 1004.

4. How to Find the LCM of 997 and 1004?

Answer:

Least Common Multiple of 997 and 1004 = 1000988

Step 1: Find the prime factorization of 997

997 = 997

Step 2: Find the prime factorization of 1004

1004 = 2 x 2 x 251

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

LCM = 1000988 = 2 x 2 x 251 x 997

Step 4: Therefore, the least common multiple of 997 and 1004 is 1000988.