Least Common Multiple of 603 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 603 and 608 the smallest integer that is 366624 that is divisible by both numbers.

Least Common Multiple (LCM) of 603 and 608 is 366624.

LCM(603,608) = 366624

LCM of 603 and 608

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

LCM of:
and

Least Common Multiple of 603 and 608

LCM of 603 and 608 is 366624

Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 608. First we will calculate the prime factors of 603 and 608.

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

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 603 and 608.

LCM(603,608) = 25×32×191×671
LCM(603,608) = 366624

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

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 603 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 603 and 608, than apply into the LCM equation.

GCF(603,608) = 1
LCM(603,608) = ( 603 × 608) / 1
LCM(603,608) = 366624 / 1
LCM(603,608) = 366624

Properties of LCM 603 and 608

(i) The LCM of 608 and 603 is associative

LCM of 603 and 608 = LCM of 608 and 603

Related Least Common Multiples of 603

Related Least Common Multiples of 608

Frequently Asked Questions on LCM of 603 and 608

1. What is the LCM of 603 and 608?

Answer: LCM of 603 and 608 is 366624.

2. 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.

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 603 and 608?

Answer:

Least Common Multiple of 603 and 608 = 366624

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

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 = 366624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 67

Step 4: Therefore, the least common multiple of 603 and 608 is 366624.