Least Common Multiple of 1608 and 1613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1608 and 1613 the smallest integer that is 2593704 that is divisible by both numbers.

Least Common Multiple (LCM) of 1608 and 1613 is 2593704.

LCM(1608,1613) = 2593704

LCM of 1608 and 1613

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

LCM of:
and

Least Common Multiple of 1608 and 1613

LCM of 1608 and 1613 is 2593704

Least common multiple can be found by multiplying the highest exponent prime factors of 1608 and 1613. First we will calculate the prime factors of 1608 and 1613.

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

Prime Factorization of 1613


1613 1613
1

Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:

1613 = 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 1608 and 1613.

LCM(1608,1613) = 23×31×671×16131
LCM(1608,1613) = 2593704

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

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1, 1613

Least Common Multiple of 1608 and 1613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1608 and 1613, than apply into the LCM equation.

GCF(1608,1613) = 1
LCM(1608,1613) = ( 1608 × 1613) / 1
LCM(1608,1613) = 2593704 / 1
LCM(1608,1613) = 2593704

Properties of LCM 1608 and 1613

(i) The LCM of 1613 and 1608 is associative

LCM of 1608 and 1613 = LCM of 1613 and 1608

Related Least Common Multiples of 1608

Related Least Common Multiples of 1613

Frequently Asked Questions on LCM of 1608 and 1613

1. What is the LCM of 1608 and 1613?

Answer: LCM of 1608 and 1613 is 2593704.

2. 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.

3. What are the Factors of 1613?

Answer: Factors of 1613 are 1, 1613. There are 2 integers that are factors of 1613. The greatest factor of 1613 is 1613.

4. How to Find the LCM of 1608 and 1613?

Answer:

Least Common Multiple of 1608 and 1613 = 2593704

Step 1: Find the prime factorization of 1608

1608 = 2 x 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 1613

1613 = 1613

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

LCM = 2593704 = 2 x 2 x 2 x 3 x 67 x 1613

Step 4: Therefore, the least common multiple of 1608 and 1613 is 2593704.