Least Common Multiple of 603 and 606

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 606 the smallest integer that is 121806 that is divisible by both numbers.

Least Common Multiple (LCM) of 603 and 606 is 121806.

LCM(603,606) = 121806

LCM of 603 and 606

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

LCM of:
and

Least Common Multiple of 603 and 606

LCM of 603 and 606 is 121806

Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 606. First we will calculate the prime factors of 603 and 606.

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 606


2 606
3 303
101 101
1

Prime factors of 606 are 2, 3,101. Prime factorization of 606 in exponential form is:

606 = 21×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 603 and 606.

LCM(603,606) = 21×32×671×1011
LCM(603,606) = 121806

Factors of 603

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

1, 3, 9, 67, 201, 603

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Least Common Multiple of 603 and 606 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 606, than apply into the LCM equation.

GCF(603,606) = 3
LCM(603,606) = ( 603 × 606) / 3
LCM(603,606) = 365418 / 3
LCM(603,606) = 121806

Properties of LCM 603 and 606

(i) The LCM of 606 and 603 is associative

LCM of 603 and 606 = LCM of 606 and 603

Related Least Common Multiples of 603

Related Least Common Multiples of 606

Frequently Asked Questions on LCM of 603 and 606

1. What is the LCM of 603 and 606?

Answer: LCM of 603 and 606 is 121806.

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 606?

Answer: Factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606. There are 8 integers that are factors of 606. The greatest factor of 606 is 606.

4. How to Find the LCM of 603 and 606?

Answer:

Least Common Multiple of 603 and 606 = 121806

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

Step 2: Find the prime factorization of 606

606 = 2 x 3 x 101

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

LCM = 121806 = 2 x 3 x 3 x 67 x 101

Step 4: Therefore, the least common multiple of 603 and 606 is 121806.