Least Common Multiple of 1606 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 1606 and 1608 the smallest integer that is 1291224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1606 and 1608 is 1291224.

LCM(1606,1608) = 1291224

LCM of 1606 and 1608

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

LCM of:
and

Least Common Multiple of 1606 and 1608

LCM of 1606 and 1608 is 1291224

Least common multiple can be found by multiplying the highest exponent prime factors of 1606 and 1608. First we will calculate the prime factors of 1606 and 1608.

Prime Factorization of 1606


2 1606
11 803
73 73
1

Prime factors of 1606 are 2, 11,73. Prime factorization of 1606 in exponential form is:

1606 = 21×111×731

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 1606 and 1608.

LCM(1606,1608) = 23×31×111×671×731
LCM(1606,1608) = 1291224

Factors of 1606

List of positive integer factors of 1606 that divides 1606 without a remainder.

1, 2, 11, 22, 73, 146, 803, 1606

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 1606 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 1606 and 1608, than apply into the LCM equation.

GCF(1606,1608) = 2
LCM(1606,1608) = ( 1606 × 1608) / 2
LCM(1606,1608) = 2582448 / 2
LCM(1606,1608) = 1291224

Properties of LCM 1606 and 1608

(i) The LCM of 1608 and 1606 is associative

LCM of 1606 and 1608 = LCM of 1608 and 1606

Related Least Common Multiples of 1606

Related Least Common Multiples of 1608

Frequently Asked Questions on LCM of 1606 and 1608

1. What is the LCM of 1606 and 1608?

Answer: LCM of 1606 and 1608 is 1291224.

2. What are the Factors of 1606?

Answer: Factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606. There are 8 integers that are factors of 1606. The greatest factor of 1606 is 1606.

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 1606 and 1608?

Answer:

Least Common Multiple of 1606 and 1608 = 1291224

Step 1: Find the prime factorization of 1606

1606 = 2 x 11 x 73

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 = 1291224 = 2 x 2 x 2 x 3 x 11 x 67 x 73

Step 4: Therefore, the least common multiple of 1606 and 1608 is 1291224.