Least Common Multiple of 603 and 605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 603 and 605 the smallest integer that is 364815 that is divisible by both numbers.

Least Common Multiple (LCM) of 603 and 605 is 364815.

LCM(603,605) = 364815

LCM of 603 and 605

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

LCM of:
and

Least Common Multiple of 603 and 605

LCM of 603 and 605 is 364815

Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 605. First we will calculate the prime factors of 603 and 605.

Prime Factorization of 603


3 603
3 201
67 67
1

Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:

603 = 32×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 603 and 605.

LCM(603,605) = 32×51×112×671
LCM(603,605) = 364815

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Factors of 605

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

1, 5, 11, 55, 121, 605

Least Common Multiple of 603 and 605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 603 and 605, than apply into the LCM equation.

GCF(603,605) = 1
LCM(603,605) = ( 603 × 605) / 1
LCM(603,605) = 364815 / 1
LCM(603,605) = 364815

Properties of LCM 603 and 605

(i) The LCM of 605 and 603 is associative

LCM of 603 and 605 = LCM of 605 and 603

Related Least Common Multiples of 603

Related Least Common Multiples of 605

Frequently Asked Questions on LCM of 603 and 605

1. What is the LCM of 603 and 605?

Answer: LCM of 603 and 605 is 364815.

2. What are the Factors of 603?

Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.

3. 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.

4. How to Find the LCM of 603 and 605?

Answer:

Least Common Multiple of 603 and 605 = 364815

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

Step 2: Find the prime factorization of 605

605 = 5 x 11 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 = 364815 = 3 x 3 x 5 x 11 x 11 x 67

Step 4: Therefore, the least common multiple of 603 and 605 is 364815.