Least Common Multiple of 6610 and 6617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6610 and 6617 the smallest integer that is 43738370 that is divisible by both numbers.

Least Common Multiple (LCM) of 6610 and 6617 is 43738370.

LCM(6610,6617) = 43738370

LCM of 6610 and 6617

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

LCM of:
and

Least Common Multiple of 6610 and 6617

LCM of 6610 and 6617 is 43738370

Least common multiple can be found by multiplying the highest exponent prime factors of 6610 and 6617. First we will calculate the prime factors of 6610 and 6617.

Prime Factorization of 6610


2 6610
5 3305
661 661
1

Prime factors of 6610 are 2, 5,661. Prime factorization of 6610 in exponential form is:

6610 = 21×51×6611

Prime Factorization of 6617


13 6617
509 509
1

Prime factors of 6617 are 13,509. Prime factorization of 6617 in exponential form is:

6617 = 131×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 6610 and 6617.

LCM(6610,6617) = 21×51×131×5091×6611
LCM(6610,6617) = 43738370

Factors of 6610

List of positive integer factors of 6610 that divides 6610 without a remainder.

1, 2, 5, 10, 661, 1322, 3305, 6610

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1, 13, 509, 6617

Least Common Multiple of 6610 and 6617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6610 and 6617, than apply into the LCM equation.

GCF(6610,6617) = 1
LCM(6610,6617) = ( 6610 × 6617) / 1
LCM(6610,6617) = 43738370 / 1
LCM(6610,6617) = 43738370

Properties of LCM 6610 and 6617

(i) The LCM of 6617 and 6610 is associative

LCM of 6610 and 6617 = LCM of 6617 and 6610

Related Least Common Multiples of 6610

Related Least Common Multiples of 6617

Frequently Asked Questions on LCM of 6610 and 6617

1. What is the LCM of 6610 and 6617?

Answer: LCM of 6610 and 6617 is 43738370.

2. What are the Factors of 6610?

Answer: Factors of 6610 are 1, 2, 5, 10, 661, 1322, 3305, 6610. There are 8 integers that are factors of 6610. The greatest factor of 6610 is 6610.

3. What are the Factors of 6617?

Answer: Factors of 6617 are 1, 13, 509, 6617. There are 4 integers that are factors of 6617. The greatest factor of 6617 is 6617.

4. How to Find the LCM of 6610 and 6617?

Answer:

Least Common Multiple of 6610 and 6617 = 43738370

Step 1: Find the prime factorization of 6610

6610 = 2 x 5 x 661

Step 2: Find the prime factorization of 6617

6617 = 13 x 509

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

LCM = 43738370 = 2 x 5 x 13 x 509 x 661

Step 4: Therefore, the least common multiple of 6610 and 6617 is 43738370.