Least Common Multiple of 1611 and 1615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1611 and 1615 the smallest integer that is 2601765 that is divisible by both numbers.

Least Common Multiple (LCM) of 1611 and 1615 is 2601765.

LCM(1611,1615) = 2601765

LCM of 1611 and 1615

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

LCM of:
and

Least Common Multiple of 1611 and 1615

LCM of 1611 and 1615 is 2601765

Least common multiple can be found by multiplying the highest exponent prime factors of 1611 and 1615. First we will calculate the prime factors of 1611 and 1615.

Prime Factorization of 1611


3 1611
3 537
179 179
1

Prime factors of 1611 are 3,179. Prime factorization of 1611 in exponential form is:

1611 = 32×1791

Prime Factorization of 1615


5 1615
17 323
19 19
1

Prime factors of 1615 are 5, 17,19. Prime factorization of 1615 in exponential form is:

1615 = 51×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1611 and 1615.

LCM(1611,1615) = 32×51×171×191×1791
LCM(1611,1615) = 2601765

Factors of 1611

List of positive integer factors of 1611 that divides 1611 without a remainder.

1, 3, 9, 179, 537, 1611

Factors of 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1, 5, 17, 19, 85, 95, 323, 1615

Least Common Multiple of 1611 and 1615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1611 and 1615, than apply into the LCM equation.

GCF(1611,1615) = 1
LCM(1611,1615) = ( 1611 × 1615) / 1
LCM(1611,1615) = 2601765 / 1
LCM(1611,1615) = 2601765

Properties of LCM 1611 and 1615

(i) The LCM of 1615 and 1611 is associative

LCM of 1611 and 1615 = LCM of 1615 and 1611

Related Least Common Multiples of 1611

Related Least Common Multiples of 1615

Frequently Asked Questions on LCM of 1611 and 1615

1. What is the LCM of 1611 and 1615?

Answer: LCM of 1611 and 1615 is 2601765.

2. What are the Factors of 1611?

Answer: Factors of 1611 are 1, 3, 9, 179, 537, 1611. There are 6 integers that are factors of 1611. The greatest factor of 1611 is 1611.

3. What are the Factors of 1615?

Answer: Factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615. There are 8 integers that are factors of 1615. The greatest factor of 1615 is 1615.

4. How to Find the LCM of 1611 and 1615?

Answer:

Least Common Multiple of 1611 and 1615 = 2601765

Step 1: Find the prime factorization of 1611

1611 = 3 x 3 x 179

Step 2: Find the prime factorization of 1615

1615 = 5 x 17 x 19

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

LCM = 2601765 = 3 x 3 x 5 x 17 x 19 x 179

Step 4: Therefore, the least common multiple of 1611 and 1615 is 2601765.