Least Common Multiple of 1613 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 1613 and 1617 the smallest integer that is 2608221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1613 and 1617 is 2608221.

LCM(1613,1617) = 2608221

LCM of 1613 and 1617

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

LCM of:
and

Least Common Multiple of 1613 and 1617

LCM of 1613 and 1617 is 2608221

Least common multiple can be found by multiplying the highest exponent prime factors of 1613 and 1617. First we will calculate the prime factors of 1613 and 1617.

Prime Factorization of 1613


1613 1613
1

Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:

1613 = 16131

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 1613 and 1617.

LCM(1613,1617) = 31×72×111×16131
LCM(1613,1617) = 2608221

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1, 1613

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 1613 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 1613 and 1617, than apply into the LCM equation.

GCF(1613,1617) = 1
LCM(1613,1617) = ( 1613 × 1617) / 1
LCM(1613,1617) = 2608221 / 1
LCM(1613,1617) = 2608221

Properties of LCM 1613 and 1617

(i) The LCM of 1617 and 1613 is associative

LCM of 1613 and 1617 = LCM of 1617 and 1613

Related Least Common Multiples of 1613

Related Least Common Multiples of 1617

Frequently Asked Questions on LCM of 1613 and 1617

1. What is the LCM of 1613 and 1617?

Answer: LCM of 1613 and 1617 is 2608221.

2. What are the Factors of 1613?

Answer: Factors of 1613 are 1, 1613. There are 2 integers that are factors of 1613. The greatest factor of 1613 is 1613.

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 1613 and 1617?

Answer:

Least Common Multiple of 1613 and 1617 = 2608221

Step 1: Find the prime factorization of 1613

1613 = 1613

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 = 2608221 = 3 x 7 x 7 x 11 x 1613

Step 4: Therefore, the least common multiple of 1613 and 1617 is 2608221.