Least Common Multiple of 1608 and 1609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1608 and 1609 the smallest integer that is 2587272 that is divisible by both numbers.

Least Common Multiple (LCM) of 1608 and 1609 is 2587272.

LCM(1608,1609) = 2587272

LCM of 1608 and 1609

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

LCM of:
and

Least Common Multiple of 1608 and 1609

LCM of 1608 and 1609 is 2587272

Least common multiple can be found by multiplying the highest exponent prime factors of 1608 and 1609. First we will calculate the prime factors of 1608 and 1609.

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

Prime Factorization of 1609


1609 1609
1

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

1609 = 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 1608 and 1609.

LCM(1608,1609) = 23×31×671×16091
LCM(1608,1609) = 2587272

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

Factors of 1609

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

1, 1609

Least Common Multiple of 1608 and 1609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1608 and 1609, than apply into the LCM equation.

GCF(1608,1609) = 1
LCM(1608,1609) = ( 1608 × 1609) / 1
LCM(1608,1609) = 2587272 / 1
LCM(1608,1609) = 2587272

Properties of LCM 1608 and 1609

(i) The LCM of 1609 and 1608 is associative

LCM of 1608 and 1609 = LCM of 1609 and 1608

Related Least Common Multiples of 1608

Related Least Common Multiples of 1609

Frequently Asked Questions on LCM of 1608 and 1609

1. What is the LCM of 1608 and 1609?

Answer: LCM of 1608 and 1609 is 2587272.

2. 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.

3. 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.

4. How to Find the LCM of 1608 and 1609?

Answer:

Least Common Multiple of 1608 and 1609 = 2587272

Step 1: Find the prime factorization of 1608

1608 = 2 x 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 1609

1609 = 1609

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

LCM = 2587272 = 2 x 2 x 2 x 3 x 67 x 1609

Step 4: Therefore, the least common multiple of 1608 and 1609 is 2587272.