Least Common Multiple of 596 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 596 and 603 the smallest integer that is 359388 that is divisible by both numbers.

Least Common Multiple (LCM) of 596 and 603 is 359388.

LCM(596,603) = 359388

LCM of 596 and 603

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

LCM of:
and

Least Common Multiple of 596 and 603

LCM of 596 and 603 is 359388

Least common multiple can be found by multiplying the highest exponent prime factors of 596 and 603. First we will calculate the prime factors of 596 and 603.

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 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 596 and 603.

LCM(596,603) = 22×32×671×1491
LCM(596,603) = 359388

Factors of 596

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

1, 2, 4, 149, 298, 596

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 596 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 596 and 603, than apply into the LCM equation.

GCF(596,603) = 1
LCM(596,603) = ( 596 × 603) / 1
LCM(596,603) = 359388 / 1
LCM(596,603) = 359388

Properties of LCM 596 and 603

(i) The LCM of 603 and 596 is associative

LCM of 596 and 603 = LCM of 603 and 596

Related Least Common Multiples of 596

Related Least Common Multiples of 603

Frequently Asked Questions on LCM of 596 and 603

1. What is the LCM of 596 and 603?

Answer: LCM of 596 and 603 is 359388.

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 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 596 and 603?

Answer:

Least Common Multiple of 596 and 603 = 359388

Step 1: Find the prime factorization of 596

596 = 2 x 2 x 149

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 = 359388 = 2 x 2 x 3 x 3 x 67 x 149

Step 4: Therefore, the least common multiple of 596 and 603 is 359388.