Least Common Multiple of 600 and 604

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 604 the smallest integer that is 90600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 604 is 90600.

LCM(600,604) = 90600

LCM of 600 and 604

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

LCM of:
and

Least Common Multiple of 600 and 604

LCM of 600 and 604 is 90600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 604. First we will calculate the prime factors of 600 and 604.

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 604


2 604
2 302
151 151
1

Prime factors of 604 are 2,151. Prime factorization of 604 in exponential form is:

604 = 22×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 604.

LCM(600,604) = 23×31×52×1511
LCM(600,604) = 90600

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 604

List of positive integer factors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Least Common Multiple of 600 and 604 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 604, than apply into the LCM equation.

GCF(600,604) = 4
LCM(600,604) = ( 600 × 604) / 4
LCM(600,604) = 362400 / 4
LCM(600,604) = 90600

Properties of LCM 600 and 604

(i) The LCM of 604 and 600 is associative

LCM of 600 and 604 = LCM of 604 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 604

Frequently Asked Questions on LCM of 600 and 604

1. What is the LCM of 600 and 604?

Answer: LCM of 600 and 604 is 90600.

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 604?

Answer: Factors of 604 are 1, 2, 4, 151, 302, 604. There are 6 integers that are factors of 604. The greatest factor of 604 is 604.

4. How to Find the LCM of 600 and 604?

Answer:

Least Common Multiple of 600 and 604 = 90600

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 604

604 = 2 x 2 x 151

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

LCM = 90600 = 2 x 2 x 2 x 3 x 5 x 5 x 151

Step 4: Therefore, the least common multiple of 600 and 604 is 90600.