Least Common Multiple of 6997 and 7003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6997 and 7003 the smallest integer that is 48999991 that is divisible by both numbers.

Least Common Multiple (LCM) of 6997 and 7003 is 48999991.

LCM(6997,7003) = 48999991

LCM of 6997 and 7003

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

LCM of:
and

Least Common Multiple of 6997 and 7003

LCM of 6997 and 7003 is 48999991

Least common multiple can be found by multiplying the highest exponent prime factors of 6997 and 7003. First we will calculate the prime factors of 6997 and 7003.

Prime Factorization of 6997


6997 6997
1

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

Prime Factorization of 7003


47 7003
149 149
1

Prime factors of 7003 are 47,149. Prime factorization of 7003 in exponential form is:

7003 = 471×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6997 and 7003.

LCM(6997,7003) = 471×1491×69971
LCM(6997,7003) = 48999991

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1, 6997

Factors of 7003

List of positive integer factors of 7003 that divides 7003 without a remainder.

1, 47, 149, 7003

Least Common Multiple of 6997 and 7003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6997 and 7003, than apply into the LCM equation.

GCF(6997,7003) = 1
LCM(6997,7003) = ( 6997 × 7003) / 1
LCM(6997,7003) = 48999991 / 1
LCM(6997,7003) = 48999991

Properties of LCM 6997 and 7003

(i) The LCM of 7003 and 6997 is associative

LCM of 6997 and 7003 = LCM of 7003 and 6997

Related Least Common Multiples of 6997

Related Least Common Multiples of 7003

Frequently Asked Questions on LCM of 6997 and 7003

1. What is the LCM of 6997 and 7003?

Answer: LCM of 6997 and 7003 is 48999991.

2. What are the Factors of 6997?

Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.

3. What are the Factors of 7003?

Answer: Factors of 7003 are 1, 47, 149, 7003. There are 4 integers that are factors of 7003. The greatest factor of 7003 is 7003.

4. How to Find the LCM of 6997 and 7003?

Answer:

Least Common Multiple of 6997 and 7003 = 48999991

Step 1: Find the prime factorization of 6997

6997 = 6997

Step 2: Find the prime factorization of 7003

7003 = 47 x 149

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

LCM = 48999991 = 47 x 149 x 6997

Step 4: Therefore, the least common multiple of 6997 and 7003 is 48999991.