Least Common Multiple of 1606 and 1614

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 1614 the smallest integer that is 1296042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1606 and 1614 is 1296042.

LCM(1606,1614) = 1296042

LCM of 1606 and 1614

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

LCM of:
and

Least Common Multiple of 1606 and 1614

LCM of 1606 and 1614 is 1296042

Least common multiple can be found by multiplying the highest exponent prime factors of 1606 and 1614. First we will calculate the prime factors of 1606 and 1614.

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 1614


2 1614
3 807
269 269
1

Prime factors of 1614 are 2, 3,269. Prime factorization of 1614 in exponential form is:

1614 = 21×31×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 1606 and 1614.

LCM(1606,1614) = 21×31×111×731×2691
LCM(1606,1614) = 1296042

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 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1, 2, 3, 6, 269, 538, 807, 1614

Least Common Multiple of 1606 and 1614 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 1614, than apply into the LCM equation.

GCF(1606,1614) = 2
LCM(1606,1614) = ( 1606 × 1614) / 2
LCM(1606,1614) = 2592084 / 2
LCM(1606,1614) = 1296042

Properties of LCM 1606 and 1614

(i) The LCM of 1614 and 1606 is associative

LCM of 1606 and 1614 = LCM of 1614 and 1606

Related Least Common Multiples of 1606

Related Least Common Multiples of 1614

Frequently Asked Questions on LCM of 1606 and 1614

1. What is the LCM of 1606 and 1614?

Answer: LCM of 1606 and 1614 is 1296042.

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 1614?

Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.

4. How to Find the LCM of 1606 and 1614?

Answer:

Least Common Multiple of 1606 and 1614 = 1296042

Step 1: Find the prime factorization of 1606

1606 = 2 x 11 x 73

Step 2: Find the prime factorization of 1614

1614 = 2 x 3 x 269

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

LCM = 1296042 = 2 x 3 x 11 x 73 x 269

Step 4: Therefore, the least common multiple of 1606 and 1614 is 1296042.