Least Common Multiple of 997 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 997 and 1002 the smallest integer that is 998994 that is divisible by both numbers.

Least Common Multiple (LCM) of 997 and 1002 is 998994.

LCM(997,1002) = 998994

LCM of 997 and 1002

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

LCM of:
and

Least Common Multiple of 997 and 1002

LCM of 997 and 1002 is 998994

Least common multiple can be found by multiplying the highest exponent prime factors of 997 and 1002. First we will calculate the prime factors of 997 and 1002.

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 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 997 and 1002.

LCM(997,1002) = 21×31×1671×9971
LCM(997,1002) = 998994

Factors of 997

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

1, 997

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 997 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 997 and 1002, than apply into the LCM equation.

GCF(997,1002) = 1
LCM(997,1002) = ( 997 × 1002) / 1
LCM(997,1002) = 998994 / 1
LCM(997,1002) = 998994

Properties of LCM 997 and 1002

(i) The LCM of 1002 and 997 is associative

LCM of 997 and 1002 = LCM of 1002 and 997

Related Least Common Multiples of 997

Related Least Common Multiples of 1002

Frequently Asked Questions on LCM of 997 and 1002

1. What is the LCM of 997 and 1002?

Answer: LCM of 997 and 1002 is 998994.

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 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 997 and 1002?

Answer:

Least Common Multiple of 997 and 1002 = 998994

Step 1: Find the prime factorization of 997

997 = 997

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 = 998994 = 2 x 3 x 167 x 997

Step 4: Therefore, the least common multiple of 997 and 1002 is 998994.