Least Common Multiple of 605 and 610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 605 and 610 the smallest integer that is 73810 that is divisible by both numbers.

Least Common Multiple (LCM) of 605 and 610 is 73810.

LCM(605,610) = 73810

LCM of 605 and 610

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

LCM of:
and

Least Common Multiple of 605 and 610

LCM of 605 and 610 is 73810

Least common multiple can be found by multiplying the highest exponent prime factors of 605 and 610. First we will calculate the prime factors of 605 and 610.

Prime Factorization of 605


5 605
11 121
11 11
1

Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:

605 = 51×112

Prime Factorization of 610


2 610
5 305
61 61
1

Prime factors of 610 are 2, 5,61. Prime factorization of 610 in exponential form is:

610 = 21×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 605 and 610.

LCM(605,610) = 21×51×112×611
LCM(605,610) = 73810

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Least Common Multiple of 605 and 610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 605 and 610, than apply into the LCM equation.

GCF(605,610) = 5
LCM(605,610) = ( 605 × 610) / 5
LCM(605,610) = 369050 / 5
LCM(605,610) = 73810

Properties of LCM 605 and 610

(i) The LCM of 610 and 605 is associative

LCM of 605 and 610 = LCM of 610 and 605

Related Least Common Multiples of 605

Related Least Common Multiples of 610

Frequently Asked Questions on LCM of 605 and 610

1. What is the LCM of 605 and 610?

Answer: LCM of 605 and 610 is 73810.

2. What are the Factors of 605?

Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.

3. What are the Factors of 610?

Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.

4. How to Find the LCM of 605 and 610?

Answer:

Least Common Multiple of 605 and 610 = 73810

Step 1: Find the prime factorization of 605

605 = 5 x 11 x 11

Step 2: Find the prime factorization of 610

610 = 2 x 5 x 61

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

LCM = 73810 = 2 x 5 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 605 and 610 is 73810.