Least Common Multiple of 1609 and 1616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1609 and 1616 the smallest integer that is 2600144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1609 and 1616 is 2600144.

LCM(1609,1616) = 2600144

LCM of 1609 and 1616

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

LCM of:
and

Least Common Multiple of 1609 and 1616

LCM of 1609 and 1616 is 2600144

Least common multiple can be found by multiplying the highest exponent prime factors of 1609 and 1616. First we will calculate the prime factors of 1609 and 1616.

Prime Factorization of 1609


1609 1609
1

Prime factors of 1609 are 1609. Prime factorization of 1609 in exponential form is:

1609 = 16091

Prime Factorization of 1616


2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 1616 are 2,101. Prime factorization of 1616 in exponential form is:

1616 = 24×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1609 and 1616.

LCM(1609,1616) = 24×1011×16091
LCM(1609,1616) = 2600144

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1, 1609

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1, 2, 4, 8, 16, 101, 202, 404, 808, 1616

Least Common Multiple of 1609 and 1616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1609 and 1616, than apply into the LCM equation.

GCF(1609,1616) = 1
LCM(1609,1616) = ( 1609 × 1616) / 1
LCM(1609,1616) = 2600144 / 1
LCM(1609,1616) = 2600144

Properties of LCM 1609 and 1616

(i) The LCM of 1616 and 1609 is associative

LCM of 1609 and 1616 = LCM of 1616 and 1609

Related Least Common Multiples of 1609

Related Least Common Multiples of 1616

Frequently Asked Questions on LCM of 1609 and 1616

1. What is the LCM of 1609 and 1616?

Answer: LCM of 1609 and 1616 is 2600144.

2. What are the Factors of 1609?

Answer: Factors of 1609 are 1, 1609. There are 2 integers that are factors of 1609. The greatest factor of 1609 is 1609.

3. What are the Factors of 1616?

Answer: Factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. There are 10 integers that are factors of 1616. The greatest factor of 1616 is 1616.

4. How to Find the LCM of 1609 and 1616?

Answer:

Least Common Multiple of 1609 and 1616 = 2600144

Step 1: Find the prime factorization of 1609

1609 = 1609

Step 2: Find the prime factorization of 1616

1616 = 2 x 2 x 2 x 2 x 101

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

LCM = 2600144 = 2 x 2 x 2 x 2 x 101 x 1609

Step 4: Therefore, the least common multiple of 1609 and 1616 is 2600144.