Least Common Multiple of 6603 and 6610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6603 and 6610 the smallest integer that is 43645830 that is divisible by both numbers.

Least Common Multiple (LCM) of 6603 and 6610 is 43645830.

LCM(6603,6610) = 43645830

LCM of 6603 and 6610

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

LCM of:
and

Least Common Multiple of 6603 and 6610

LCM of 6603 and 6610 is 43645830

Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6610. First we will calculate the prime factors of 6603 and 6610.

Prime Factorization of 6603


3 6603
31 2201
71 71
1

Prime factors of 6603 are 3, 31,71. Prime factorization of 6603 in exponential form is:

6603 = 31×311×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6603 and 6610.

LCM(6603,6610) = 21×31×51×311×711×6611
LCM(6603,6610) = 43645830

Factors of 6603

List of positive integer factors of 6603 that divides 6603 without a remainder.

1, 3, 31, 71, 93, 213, 2201, 6603

Factors of 6610

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

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

Least Common Multiple of 6603 and 6610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6603 and 6610, than apply into the LCM equation.

GCF(6603,6610) = 1
LCM(6603,6610) = ( 6603 × 6610) / 1
LCM(6603,6610) = 43645830 / 1
LCM(6603,6610) = 43645830

Properties of LCM 6603 and 6610

(i) The LCM of 6610 and 6603 is associative

LCM of 6603 and 6610 = LCM of 6610 and 6603

Related Least Common Multiples of 6603

Related Least Common Multiples of 6610

Frequently Asked Questions on LCM of 6603 and 6610

1. What is the LCM of 6603 and 6610?

Answer: LCM of 6603 and 6610 is 43645830.

2. What are the Factors of 6603?

Answer: Factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603. There are 8 integers that are factors of 6603. The greatest factor of 6603 is 6603.

3. 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.

4. How to Find the LCM of 6603 and 6610?

Answer:

Least Common Multiple of 6603 and 6610 = 43645830

Step 1: Find the prime factorization of 6603

6603 = 3 x 31 x 71

Step 2: Find the prime factorization of 6610

6610 = 2 x 5 x 661

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

LCM = 43645830 = 2 x 3 x 5 x 31 x 71 x 661

Step 4: Therefore, the least common multiple of 6603 and 6610 is 43645830.