Least Common Multiple of 6992 and 6998

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 6998 the smallest integer that is 24465008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6992 and 6998 is 24465008.

LCM(6992,6998) = 24465008

LCM of 6992 and 6998

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

LCM of:
and

Least Common Multiple of 6992 and 6998

LCM of 6992 and 6998 is 24465008

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 6998. First we will calculate the prime factors of 6992 and 6998.

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 6998


2 6998
3499 3499
1

Prime factors of 6998 are 2,3499. Prime factorization of 6998 in exponential form is:

6998 = 21×34991

Now multiplying the highest exponent prime factors to calculate the LCM of 6992 and 6998.

LCM(6992,6998) = 24×191×231×34991
LCM(6992,6998) = 24465008

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 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1, 2, 3499, 6998

Least Common Multiple of 6992 and 6998 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 6998, than apply into the LCM equation.

GCF(6992,6998) = 2
LCM(6992,6998) = ( 6992 × 6998) / 2
LCM(6992,6998) = 48930016 / 2
LCM(6992,6998) = 24465008

Properties of LCM 6992 and 6998

(i) The LCM of 6998 and 6992 is associative

LCM of 6992 and 6998 = LCM of 6998 and 6992

Related Least Common Multiples of 6992

Related Least Common Multiples of 6998

Frequently Asked Questions on LCM of 6992 and 6998

1. What is the LCM of 6992 and 6998?

Answer: LCM of 6992 and 6998 is 24465008.

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 6998?

Answer: Factors of 6998 are 1, 2, 3499, 6998. There are 4 integers that are factors of 6998. The greatest factor of 6998 is 6998.

4. How to Find the LCM of 6992 and 6998?

Answer:

Least Common Multiple of 6992 and 6998 = 24465008

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 6998

6998 = 2 x 3499

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

LCM = 24465008 = 2 x 2 x 2 x 2 x 19 x 23 x 3499

Step 4: Therefore, the least common multiple of 6992 and 6998 is 24465008.