Least Common Multiple of 1602 and 1606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1602 and 1606 the smallest integer that is 1286406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1602 and 1606 is 1286406.

LCM(1602,1606) = 1286406

LCM of 1602 and 1606

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

LCM of:
and

Least Common Multiple of 1602 and 1606

LCM of 1602 and 1606 is 1286406

Least common multiple can be found by multiplying the highest exponent prime factors of 1602 and 1606. First we will calculate the prime factors of 1602 and 1606.

Prime Factorization of 1602


2 1602
3 801
3 267
89 89
1

Prime factors of 1602 are 2, 3,89. Prime factorization of 1602 in exponential form is:

1602 = 21×32×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1602 and 1606.

LCM(1602,1606) = 21×32×111×731×891
LCM(1602,1606) = 1286406

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602

Factors of 1606

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

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

Least Common Multiple of 1602 and 1606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1602 and 1606, than apply into the LCM equation.

GCF(1602,1606) = 2
LCM(1602,1606) = ( 1602 × 1606) / 2
LCM(1602,1606) = 2572812 / 2
LCM(1602,1606) = 1286406

Properties of LCM 1602 and 1606

(i) The LCM of 1606 and 1602 is associative

LCM of 1602 and 1606 = LCM of 1606 and 1602

Related Least Common Multiples of 1602

Related Least Common Multiples of 1606

Frequently Asked Questions on LCM of 1602 and 1606

1. What is the LCM of 1602 and 1606?

Answer: LCM of 1602 and 1606 is 1286406.

2. What are the Factors of 1602?

Answer: Factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602. There are 12 integers that are factors of 1602. The greatest factor of 1602 is 1602.

3. 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.

4. How to Find the LCM of 1602 and 1606?

Answer:

Least Common Multiple of 1602 and 1606 = 1286406

Step 1: Find the prime factorization of 1602

1602 = 2 x 3 x 3 x 89

Step 2: Find the prime factorization of 1606

1606 = 2 x 11 x 73

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

LCM = 1286406 = 2 x 3 x 3 x 11 x 73 x 89

Step 4: Therefore, the least common multiple of 1602 and 1606 is 1286406.