Least Common Multiple of 603 and 609

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 609 the smallest integer that is 122409 that is divisible by both numbers.

Least Common Multiple (LCM) of 603 and 609 is 122409.

LCM(603,609) = 122409

LCM of 603 and 609

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

LCM of:
and

Least Common Multiple of 603 and 609

LCM of 603 and 609 is 122409

Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 609. First we will calculate the prime factors of 603 and 609.

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 609


3 609
7 203
29 29
1

Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 603 and 609.

LCM(603,609) = 32×71×291×671
LCM(603,609) = 122409

Factors of 603

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

1, 3, 9, 67, 201, 603

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Least Common Multiple of 603 and 609 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 609, than apply into the LCM equation.

GCF(603,609) = 3
LCM(603,609) = ( 603 × 609) / 3
LCM(603,609) = 367227 / 3
LCM(603,609) = 122409

Properties of LCM 603 and 609

(i) The LCM of 609 and 603 is associative

LCM of 603 and 609 = LCM of 609 and 603

Related Least Common Multiples of 603

Related Least Common Multiples of 609

Frequently Asked Questions on LCM of 603 and 609

1. What is the LCM of 603 and 609?

Answer: LCM of 603 and 609 is 122409.

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 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

4. How to Find the LCM of 603 and 609?

Answer:

Least Common Multiple of 603 and 609 = 122409

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

Step 2: Find the prime factorization of 609

609 = 3 x 7 x 29

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

LCM = 122409 = 3 x 3 x 7 x 29 x 67

Step 4: Therefore, the least common multiple of 603 and 609 is 122409.