Least Common Multiple of 1610 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 1610 and 1615 the smallest integer that is 520030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1610 and 1615 is 520030.

LCM(1610,1615) = 520030

LCM of 1610 and 1615

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

LCM of:
and

Least Common Multiple of 1610 and 1615

LCM of 1610 and 1615 is 520030

Least common multiple can be found by multiplying the highest exponent prime factors of 1610 and 1615. First we will calculate the prime factors of 1610 and 1615.

Prime Factorization of 1610


2 1610
5 805
7 161
23 23
1

Prime factors of 1610 are 2, 5, 7,23. Prime factorization of 1610 in exponential form is:

1610 = 21×51×71×231

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 1610 and 1615.

LCM(1610,1615) = 21×51×71×171×191×231
LCM(1610,1615) = 520030

Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610

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 1610 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 1610 and 1615, than apply into the LCM equation.

GCF(1610,1615) = 5
LCM(1610,1615) = ( 1610 × 1615) / 5
LCM(1610,1615) = 2600150 / 5
LCM(1610,1615) = 520030

Properties of LCM 1610 and 1615

(i) The LCM of 1615 and 1610 is associative

LCM of 1610 and 1615 = LCM of 1615 and 1610

Related Least Common Multiples of 1610

Related Least Common Multiples of 1615

Frequently Asked Questions on LCM of 1610 and 1615

1. What is the LCM of 1610 and 1615?

Answer: LCM of 1610 and 1615 is 520030.

2. What are the Factors of 1610?

Answer: Factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610. There are 16 integers that are factors of 1610. The greatest factor of 1610 is 1610.

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 1610 and 1615?

Answer:

Least Common Multiple of 1610 and 1615 = 520030

Step 1: Find the prime factorization of 1610

1610 = 2 x 5 x 7 x 23

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 = 520030 = 2 x 5 x 7 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 1610 and 1615 is 520030.