Least Common Multiple of 1603 and 1608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1603 and 1608 the smallest integer that is 2577624 that is divisible by both numbers.

Least Common Multiple (LCM) of 1603 and 1608 is 2577624.

LCM(1603,1608) = 2577624

LCM of 1603 and 1608

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

LCM of:
and

Least Common Multiple of 1603 and 1608

LCM of 1603 and 1608 is 2577624

Least common multiple can be found by multiplying the highest exponent prime factors of 1603 and 1608. First we will calculate the prime factors of 1603 and 1608.

Prime Factorization of 1603


7 1603
229 229
1

Prime factors of 1603 are 7,229. Prime factorization of 1603 in exponential form is:

1603 = 71×2291

Prime Factorization of 1608


2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 1608 are 2, 3,67. Prime factorization of 1608 in exponential form is:

1608 = 23×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1603 and 1608.

LCM(1603,1608) = 23×31×71×671×2291
LCM(1603,1608) = 2577624

Factors of 1603

List of positive integer factors of 1603 that divides 1603 without a remainder.

1, 7, 229, 1603

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

Least Common Multiple of 1603 and 1608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1603 and 1608, than apply into the LCM equation.

GCF(1603,1608) = 1
LCM(1603,1608) = ( 1603 × 1608) / 1
LCM(1603,1608) = 2577624 / 1
LCM(1603,1608) = 2577624

Properties of LCM 1603 and 1608

(i) The LCM of 1608 and 1603 is associative

LCM of 1603 and 1608 = LCM of 1608 and 1603

Related Least Common Multiples of 1603

Related Least Common Multiples of 1608

Frequently Asked Questions on LCM of 1603 and 1608

1. What is the LCM of 1603 and 1608?

Answer: LCM of 1603 and 1608 is 2577624.

2. What are the Factors of 1603?

Answer: Factors of 1603 are 1, 7, 229, 1603. There are 4 integers that are factors of 1603. The greatest factor of 1603 is 1603.

3. What are the Factors of 1608?

Answer: Factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608. There are 16 integers that are factors of 1608. The greatest factor of 1608 is 1608.

4. How to Find the LCM of 1603 and 1608?

Answer:

Least Common Multiple of 1603 and 1608 = 2577624

Step 1: Find the prime factorization of 1603

1603 = 7 x 229

Step 2: Find the prime factorization of 1608

1608 = 2 x 2 x 2 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 = 2577624 = 2 x 2 x 2 x 3 x 7 x 67 x 229

Step 4: Therefore, the least common multiple of 1603 and 1608 is 2577624.