Least Common Multiple of 600 and 608

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 608 the smallest integer that is 45600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 608 is 45600.

LCM(600,608) = 45600

LCM of 600 and 608

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

LCM of:
and

Least Common Multiple of 600 and 608

LCM of 600 and 608 is 45600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 608. First we will calculate the prime factors of 600 and 608.

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 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 608.

LCM(600,608) = 25×31×52×191
LCM(600,608) = 45600

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 608

List of positive integer factors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Least Common Multiple of 600 and 608 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 608, than apply into the LCM equation.

GCF(600,608) = 8
LCM(600,608) = ( 600 × 608) / 8
LCM(600,608) = 364800 / 8
LCM(600,608) = 45600

Properties of LCM 600 and 608

(i) The LCM of 608 and 600 is associative

LCM of 600 and 608 = LCM of 608 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 608

Frequently Asked Questions on LCM of 600 and 608

1. What is the LCM of 600 and 608?

Answer: LCM of 600 and 608 is 45600.

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 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

4. How to Find the LCM of 600 and 608?

Answer:

Least Common Multiple of 600 and 608 = 45600

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 608

608 = 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 45600 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 19

Step 4: Therefore, the least common multiple of 600 and 608 is 45600.