Least Common Multiple of 6611 and 6615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6611 and 6615 the smallest integer that is 43731765 that is divisible by both numbers.

Least Common Multiple (LCM) of 6611 and 6615 is 43731765.

LCM(6611,6615) = 43731765

LCM of 6611 and 6615

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

LCM of:
and

Least Common Multiple of 6611 and 6615

LCM of 6611 and 6615 is 43731765

Least common multiple can be found by multiplying the highest exponent prime factors of 6611 and 6615. First we will calculate the prime factors of 6611 and 6615.

Prime Factorization of 6611


11 6611
601 601
1

Prime factors of 6611 are 11,601. Prime factorization of 6611 in exponential form is:

6611 = 111×6011

Prime Factorization of 6615


3 6615
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 6615 are 3, 5,7. Prime factorization of 6615 in exponential form is:

6615 = 33×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 6611 and 6615.

LCM(6611,6615) = 33×51×72×111×6011
LCM(6611,6615) = 43731765

Factors of 6611

List of positive integer factors of 6611 that divides 6611 without a remainder.

1, 11, 601, 6611

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615

Least Common Multiple of 6611 and 6615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6611 and 6615, than apply into the LCM equation.

GCF(6611,6615) = 1
LCM(6611,6615) = ( 6611 × 6615) / 1
LCM(6611,6615) = 43731765 / 1
LCM(6611,6615) = 43731765

Properties of LCM 6611 and 6615

(i) The LCM of 6615 and 6611 is associative

LCM of 6611 and 6615 = LCM of 6615 and 6611

Related Least Common Multiples of 6611

Related Least Common Multiples of 6615

Frequently Asked Questions on LCM of 6611 and 6615

1. What is the LCM of 6611 and 6615?

Answer: LCM of 6611 and 6615 is 43731765.

2. What are the Factors of 6611?

Answer: Factors of 6611 are 1, 11, 601, 6611. There are 4 integers that are factors of 6611. The greatest factor of 6611 is 6611.

3. What are the Factors of 6615?

Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.

4. How to Find the LCM of 6611 and 6615?

Answer:

Least Common Multiple of 6611 and 6615 = 43731765

Step 1: Find the prime factorization of 6611

6611 = 11 x 601

Step 2: Find the prime factorization of 6615

6615 = 3 x 3 x 3 x 5 x 7 x 7

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

LCM = 43731765 = 3 x 3 x 3 x 5 x 7 x 7 x 11 x 601

Step 4: Therefore, the least common multiple of 6611 and 6615 is 43731765.