Least Common Multiple of 6690 and 6694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6690 and 6694 the smallest integer that is 22391430 that is divisible by both numbers.

Least Common Multiple (LCM) of 6690 and 6694 is 22391430.

LCM(6690,6694) = 22391430

LCM of 6690 and 6694

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

LCM of:
and

Least Common Multiple of 6690 and 6694

LCM of 6690 and 6694 is 22391430

Least common multiple can be found by multiplying the highest exponent prime factors of 6690 and 6694. First we will calculate the prime factors of 6690 and 6694.

Prime Factorization of 6690


2 6690
3 3345
5 1115
223 223
1

Prime factors of 6690 are 2, 3, 5,223. Prime factorization of 6690 in exponential form is:

6690 = 21×31×51×2231

Prime Factorization of 6694


2 6694
3347 3347
1

Prime factors of 6694 are 2,3347. Prime factorization of 6694 in exponential form is:

6694 = 21×33471

Now multiplying the highest exponent prime factors to calculate the LCM of 6690 and 6694.

LCM(6690,6694) = 21×31×51×2231×33471
LCM(6690,6694) = 22391430

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690

Factors of 6694

List of positive integer factors of 6694 that divides 6694 without a remainder.

1, 2, 3347, 6694

Least Common Multiple of 6690 and 6694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6690 and 6694, than apply into the LCM equation.

GCF(6690,6694) = 2
LCM(6690,6694) = ( 6690 × 6694) / 2
LCM(6690,6694) = 44782860 / 2
LCM(6690,6694) = 22391430

Properties of LCM 6690 and 6694

(i) The LCM of 6694 and 6690 is associative

LCM of 6690 and 6694 = LCM of 6694 and 6690

Related Least Common Multiples of 6690

Related Least Common Multiples of 6694

Frequently Asked Questions on LCM of 6690 and 6694

1. What is the LCM of 6690 and 6694?

Answer: LCM of 6690 and 6694 is 22391430.

2. What are the Factors of 6690?

Answer: Factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690. There are 16 integers that are factors of 6690. The greatest factor of 6690 is 6690.

3. What are the Factors of 6694?

Answer: Factors of 6694 are 1, 2, 3347, 6694. There are 4 integers that are factors of 6694. The greatest factor of 6694 is 6694.

4. How to Find the LCM of 6690 and 6694?

Answer:

Least Common Multiple of 6690 and 6694 = 22391430

Step 1: Find the prime factorization of 6690

6690 = 2 x 3 x 5 x 223

Step 2: Find the prime factorization of 6694

6694 = 2 x 3347

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

LCM = 22391430 = 2 x 3 x 5 x 223 x 3347

Step 4: Therefore, the least common multiple of 6690 and 6694 is 22391430.