Least Common Multiple of 600 and 603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 600 and 603 the smallest integer that is 120600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 603 is 120600.

LCM(600,603) = 120600

LCM of 600 and 603

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

LCM of:
and

Least Common Multiple of 600 and 603

LCM of 600 and 603 is 120600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 603. First we will calculate the prime factors of 600 and 603.

Prime Factorization of 600


2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 600 are 2, 3,5. Prime factorization of 600 in exponential form is:

600 = 23×31×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 603.

LCM(600,603) = 23×32×52×671
LCM(600,603) = 120600

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Factors of 603

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

1, 3, 9, 67, 201, 603

Least Common Multiple of 600 and 603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 600 and 603, than apply into the LCM equation.

GCF(600,603) = 3
LCM(600,603) = ( 600 × 603) / 3
LCM(600,603) = 361800 / 3
LCM(600,603) = 120600

Properties of LCM 600 and 603

(i) The LCM of 603 and 600 is associative

LCM of 600 and 603 = LCM of 603 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 603

Frequently Asked Questions on LCM of 600 and 603

1. What is the LCM of 600 and 603?

Answer: LCM of 600 and 603 is 120600.

2. What are the Factors of 600?

Answer: Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. There are 24 integers that are factors of 600. The greatest factor of 600 is 600.

3. 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.

4. How to Find the LCM of 600 and 603?

Answer:

Least Common Multiple of 600 and 603 = 120600

Step 1: Find the prime factorization of 600

600 = 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 603

603 = 3 x 3 x 67

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

LCM = 120600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 67

Step 4: Therefore, the least common multiple of 600 and 603 is 120600.