Least Common Multiple of 1606 and 1607

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 1607 the smallest integer that is 2580842 that is divisible by both numbers.

Least Common Multiple (LCM) of 1606 and 1607 is 2580842.

LCM(1606,1607) = 2580842

LCM of 1606 and 1607

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

LCM of:
and

Least Common Multiple of 1606 and 1607

LCM of 1606 and 1607 is 2580842

Least common multiple can be found by multiplying the highest exponent prime factors of 1606 and 1607. First we will calculate the prime factors of 1606 and 1607.

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 1607


1607 1607
1

Prime factors of 1607 are 1607. Prime factorization of 1607 in exponential form is:

1607 = 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 1606 and 1607.

LCM(1606,1607) = 21×111×731×16071
LCM(1606,1607) = 2580842

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 1607

List of positive integer factors of 1607 that divides 1607 without a remainder.

1, 1607

Least Common Multiple of 1606 and 1607 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 1607, than apply into the LCM equation.

GCF(1606,1607) = 1
LCM(1606,1607) = ( 1606 × 1607) / 1
LCM(1606,1607) = 2580842 / 1
LCM(1606,1607) = 2580842

Properties of LCM 1606 and 1607

(i) The LCM of 1607 and 1606 is associative

LCM of 1606 and 1607 = LCM of 1607 and 1606

Related Least Common Multiples of 1606

Related Least Common Multiples of 1607

Frequently Asked Questions on LCM of 1606 and 1607

1. What is the LCM of 1606 and 1607?

Answer: LCM of 1606 and 1607 is 2580842.

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 1607?

Answer: Factors of 1607 are 1, 1607. There are 2 integers that are factors of 1607. The greatest factor of 1607 is 1607.

4. How to Find the LCM of 1606 and 1607?

Answer:

Least Common Multiple of 1606 and 1607 = 2580842

Step 1: Find the prime factorization of 1606

1606 = 2 x 11 x 73

Step 2: Find the prime factorization of 1607

1607 = 1607

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

LCM = 2580842 = 2 x 11 x 73 x 1607

Step 4: Therefore, the least common multiple of 1606 and 1607 is 2580842.