Least Common Multiple of 6992 and 6995

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 6995 the smallest integer that is 48909040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6992 and 6995 is 48909040.

LCM(6992,6995) = 48909040

LCM of 6992 and 6995

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

LCM of:
and

Least Common Multiple of 6992 and 6995

LCM of 6992 and 6995 is 48909040

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 6995. First we will calculate the prime factors of 6992 and 6995.

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 6995


5 6995
1399 1399
1

Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:

6995 = 51×13991

Now multiplying the highest exponent prime factors to calculate the LCM of 6992 and 6995.

LCM(6992,6995) = 24×51×191×231×13991
LCM(6992,6995) = 48909040

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 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1, 5, 1399, 6995

Least Common Multiple of 6992 and 6995 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 6995, than apply into the LCM equation.

GCF(6992,6995) = 1
LCM(6992,6995) = ( 6992 × 6995) / 1
LCM(6992,6995) = 48909040 / 1
LCM(6992,6995) = 48909040

Properties of LCM 6992 and 6995

(i) The LCM of 6995 and 6992 is associative

LCM of 6992 and 6995 = LCM of 6995 and 6992

Related Least Common Multiples of 6992

Related Least Common Multiples of 6995

Frequently Asked Questions on LCM of 6992 and 6995

1. What is the LCM of 6992 and 6995?

Answer: LCM of 6992 and 6995 is 48909040.

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 6995?

Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.

4. How to Find the LCM of 6992 and 6995?

Answer:

Least Common Multiple of 6992 and 6995 = 48909040

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 6995

6995 = 5 x 1399

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

LCM = 48909040 = 2 x 2 x 2 x 2 x 5 x 19 x 23 x 1399

Step 4: Therefore, the least common multiple of 6992 and 6995 is 48909040.