Least Common Multiple of 596 and 600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 596 and 600 the smallest integer that is 89400 that is divisible by both numbers.

Least Common Multiple (LCM) of 596 and 600 is 89400.

LCM(596,600) = 89400

LCM of 596 and 600

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

LCM of:
and

Least Common Multiple of 596 and 600

LCM of 596 and 600 is 89400

Least common multiple can be found by multiplying the highest exponent prime factors of 596 and 600. First we will calculate the prime factors of 596 and 600.

Prime Factorization of 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 596 and 600.

LCM(596,600) = 23×31×52×1491
LCM(596,600) = 89400

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

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

Least Common Multiple of 596 and 600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 596 and 600, than apply into the LCM equation.

GCF(596,600) = 4
LCM(596,600) = ( 596 × 600) / 4
LCM(596,600) = 357600 / 4
LCM(596,600) = 89400

Properties of LCM 596 and 600

(i) The LCM of 600 and 596 is associative

LCM of 596 and 600 = LCM of 600 and 596

Related Least Common Multiples of 596

Related Least Common Multiples of 600

Frequently Asked Questions on LCM of 596 and 600

1. What is the LCM of 596 and 600?

Answer: LCM of 596 and 600 is 89400.

2. What are the Factors of 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

3. 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.

4. How to Find the LCM of 596 and 600?

Answer:

Least Common Multiple of 596 and 600 = 89400

Step 1: Find the prime factorization of 596

596 = 2 x 2 x 149

Step 2: Find the prime factorization of 600

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

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

LCM = 89400 = 2 x 2 x 2 x 3 x 5 x 5 x 149

Step 4: Therefore, the least common multiple of 596 and 600 is 89400.