Least Common Multiple of 6990 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 6990 and 6998 the smallest integer that is 24458010 that is divisible by both numbers.

Least Common Multiple (LCM) of 6990 and 6998 is 24458010.

LCM(6990,6998) = 24458010

LCM of 6990 and 6998

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

LCM of:
and

Least Common Multiple of 6990 and 6998

LCM of 6990 and 6998 is 24458010

Least common multiple can be found by multiplying the highest exponent prime factors of 6990 and 6998. First we will calculate the prime factors of 6990 and 6998.

Prime Factorization of 6990


2 6990
3 3495
5 1165
233 233
1

Prime factors of 6990 are 2, 3, 5,233. Prime factorization of 6990 in exponential form is:

6990 = 21×31×51×2331

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 6990 and 6998.

LCM(6990,6998) = 21×31×51×2331×34991
LCM(6990,6998) = 24458010

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990

Factors of 6998

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

1, 2, 3499, 6998

Least Common Multiple of 6990 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 6990 and 6998, than apply into the LCM equation.

GCF(6990,6998) = 2
LCM(6990,6998) = ( 6990 × 6998) / 2
LCM(6990,6998) = 48916020 / 2
LCM(6990,6998) = 24458010

Properties of LCM 6990 and 6998

(i) The LCM of 6998 and 6990 is associative

LCM of 6990 and 6998 = LCM of 6998 and 6990

Related Least Common Multiples of 6990

Related Least Common Multiples of 6998

Frequently Asked Questions on LCM of 6990 and 6998

1. What is the LCM of 6990 and 6998?

Answer: LCM of 6990 and 6998 is 24458010.

2. What are the Factors of 6990?

Answer: Factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990. There are 16 integers that are factors of 6990. The greatest factor of 6990 is 6990.

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 6990 and 6998?

Answer:

Least Common Multiple of 6990 and 6998 = 24458010

Step 1: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

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 = 24458010 = 2 x 3 x 5 x 233 x 3499

Step 4: Therefore, the least common multiple of 6990 and 6998 is 24458010.