Least Common Multiple of 6992 and 6997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6992 and 6997 the smallest integer that is 48923024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6992 and 6997 is 48923024.

LCM(6992,6997) = 48923024

LCM of 6992 and 6997

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

LCM of:
and

Least Common Multiple of 6992 and 6997

LCM of 6992 and 6997 is 48923024

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 6997. First we will calculate the prime factors of 6992 and 6997.

Prime Factorization of 6992


2 6992
2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 6992 are 2, 19,23. Prime factorization of 6992 in exponential form is:

6992 = 24×191×231

Prime Factorization of 6997


6997 6997
1

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

6997 = 69971

Now multiplying the highest exponent prime factors to calculate the LCM of 6992 and 6997.

LCM(6992,6997) = 24×191×231×69971
LCM(6992,6997) = 48923024

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992

Factors of 6997

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

1, 6997

Least Common Multiple of 6992 and 6997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6992 and 6997, than apply into the LCM equation.

GCF(6992,6997) = 1
LCM(6992,6997) = ( 6992 × 6997) / 1
LCM(6992,6997) = 48923024 / 1
LCM(6992,6997) = 48923024

Properties of LCM 6992 and 6997

(i) The LCM of 6997 and 6992 is associative

LCM of 6992 and 6997 = LCM of 6997 and 6992

Related Least Common Multiples of 6992

Related Least Common Multiples of 6997

Frequently Asked Questions on LCM of 6992 and 6997

1. What is the LCM of 6992 and 6997?

Answer: LCM of 6992 and 6997 is 48923024.

2. What are the Factors of 6992?

Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.

3. 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.

4. How to Find the LCM of 6992 and 6997?

Answer:

Least Common Multiple of 6992 and 6997 = 48923024

Step 1: Find the prime factorization of 6992

6992 = 2 x 2 x 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 6997

6997 = 6997

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

LCM = 48923024 = 2 x 2 x 2 x 2 x 19 x 23 x 6997

Step 4: Therefore, the least common multiple of 6992 and 6997 is 48923024.