Least Common Multiple of 1609 and 1617

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 1617 the smallest integer that is 2601753 that is divisible by both numbers.

Least Common Multiple (LCM) of 1609 and 1617 is 2601753.

LCM(1609,1617) = 2601753

LCM of 1609 and 1617

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

LCM of:
and

Least Common Multiple of 1609 and 1617

LCM of 1609 and 1617 is 2601753

Least common multiple can be found by multiplying the highest exponent prime factors of 1609 and 1617. First we will calculate the prime factors of 1609 and 1617.

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 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3, 7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1609 and 1617.

LCM(1609,1617) = 31×72×111×16091
LCM(1609,1617) = 2601753

Factors of 1609

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

1, 1609

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617

Least Common Multiple of 1609 and 1617 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 1617, than apply into the LCM equation.

GCF(1609,1617) = 1
LCM(1609,1617) = ( 1609 × 1617) / 1
LCM(1609,1617) = 2601753 / 1
LCM(1609,1617) = 2601753

Properties of LCM 1609 and 1617

(i) The LCM of 1617 and 1609 is associative

LCM of 1609 and 1617 = LCM of 1617 and 1609

Related Least Common Multiples of 1609

Related Least Common Multiples of 1617

Frequently Asked Questions on LCM of 1609 and 1617

1. What is the LCM of 1609 and 1617?

Answer: LCM of 1609 and 1617 is 2601753.

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 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

4. How to Find the LCM of 1609 and 1617?

Answer:

Least Common Multiple of 1609 and 1617 = 2601753

Step 1: Find the prime factorization of 1609

1609 = 1609

Step 2: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

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

LCM = 2601753 = 3 x 7 x 7 x 11 x 1609

Step 4: Therefore, the least common multiple of 1609 and 1617 is 2601753.