Least Common Multiple of 1615 and 1617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1615 and 1617 the smallest integer that is 2611455 that is divisible by both numbers.

Least Common Multiple (LCM) of 1615 and 1617 is 2611455.

LCM(1615,1617) = 2611455

LCM of 1615 and 1617

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

LCM of:
and

Least Common Multiple of 1615 and 1617

LCM of 1615 and 1617 is 2611455

Least common multiple can be found by multiplying the highest exponent prime factors of 1615 and 1617. First we will calculate the prime factors of 1615 and 1617.

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

Prime Factorization of 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3, 7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1615 and 1617.

LCM(1615,1617) = 31×51×72×111×171×191
LCM(1615,1617) = 2611455

Factors of 1615

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

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

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617

Least Common Multiple of 1615 and 1617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1615 and 1617, than apply into the LCM equation.

GCF(1615,1617) = 1
LCM(1615,1617) = ( 1615 × 1617) / 1
LCM(1615,1617) = 2611455 / 1
LCM(1615,1617) = 2611455

Properties of LCM 1615 and 1617

(i) The LCM of 1617 and 1615 is associative

LCM of 1615 and 1617 = LCM of 1617 and 1615

Related Least Common Multiples of 1615

Related Least Common Multiples of 1617

Frequently Asked Questions on LCM of 1615 and 1617

1. What is the LCM of 1615 and 1617?

Answer: LCM of 1615 and 1617 is 2611455.

2. 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.

3. What are the Factors of 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

4. How to Find the LCM of 1615 and 1617?

Answer:

Least Common Multiple of 1615 and 1617 = 2611455

Step 1: Find the prime factorization of 1615

1615 = 5 x 17 x 19

Step 2: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

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

LCM = 2611455 = 3 x 5 x 7 x 7 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 1615 and 1617 is 2611455.