Least Common Multiple of 6705 and 6711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6705 and 6711 the smallest integer that is 14999085 that is divisible by both numbers.

Least Common Multiple (LCM) of 6705 and 6711 is 14999085.

LCM(6705,6711) = 14999085

LCM of 6705 and 6711

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

LCM of:
and

Least Common Multiple of 6705 and 6711

LCM of 6705 and 6711 is 14999085

Least common multiple can be found by multiplying the highest exponent prime factors of 6705 and 6711. First we will calculate the prime factors of 6705 and 6711.

Prime Factorization of 6705


3 6705
3 2235
5 745
149 149
1

Prime factors of 6705 are 3, 5,149. Prime factorization of 6705 in exponential form is:

6705 = 32×51×1491

Prime Factorization of 6711


3 6711
2237 2237
1

Prime factors of 6711 are 3,2237. Prime factorization of 6711 in exponential form is:

6711 = 31×22371

Now multiplying the highest exponent prime factors to calculate the LCM of 6705 and 6711.

LCM(6705,6711) = 32×51×1491×22371
LCM(6705,6711) = 14999085

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705

Factors of 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1, 3, 2237, 6711

Least Common Multiple of 6705 and 6711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6705 and 6711, than apply into the LCM equation.

GCF(6705,6711) = 3
LCM(6705,6711) = ( 6705 × 6711) / 3
LCM(6705,6711) = 44997255 / 3
LCM(6705,6711) = 14999085

Properties of LCM 6705 and 6711

(i) The LCM of 6711 and 6705 is associative

LCM of 6705 and 6711 = LCM of 6711 and 6705

Related Least Common Multiples of 6705

Related Least Common Multiples of 6711

Frequently Asked Questions on LCM of 6705 and 6711

1. What is the LCM of 6705 and 6711?

Answer: LCM of 6705 and 6711 is 14999085.

2. What are the Factors of 6705?

Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.

3. What are the Factors of 6711?

Answer: Factors of 6711 are 1, 3, 2237, 6711. There are 4 integers that are factors of 6711. The greatest factor of 6711 is 6711.

4. How to Find the LCM of 6705 and 6711?

Answer:

Least Common Multiple of 6705 and 6711 = 14999085

Step 1: Find the prime factorization of 6705

6705 = 3 x 3 x 5 x 149

Step 2: Find the prime factorization of 6711

6711 = 3 x 2237

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

LCM = 14999085 = 3 x 3 x 5 x 149 x 2237

Step 4: Therefore, the least common multiple of 6705 and 6711 is 14999085.