Least Common Multiple of 600 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 600 and 605 the smallest integer that is 72600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 605 is 72600.

LCM(600,605) = 72600

LCM of 600 and 605

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

LCM of:
and

Least Common Multiple of 600 and 605

LCM of 600 and 605 is 72600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 605. First we will calculate the prime factors of 600 and 605.

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 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 600 and 605.

LCM(600,605) = 23×31×52×112
LCM(600,605) = 72600

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 605

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

1, 5, 11, 55, 121, 605

Least Common Multiple of 600 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 600 and 605, than apply into the LCM equation.

GCF(600,605) = 5
LCM(600,605) = ( 600 × 605) / 5
LCM(600,605) = 363000 / 5
LCM(600,605) = 72600

Properties of LCM 600 and 605

(i) The LCM of 605 and 600 is associative

LCM of 600 and 605 = LCM of 605 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 605

Frequently Asked Questions on LCM of 600 and 605

1. What is the LCM of 600 and 605?

Answer: LCM of 600 and 605 is 72600.

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 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 600 and 605?

Answer:

Least Common Multiple of 600 and 605 = 72600

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 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 = 72600 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 600 and 605 is 72600.