Least Common Multiple of 1613 and 1620

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 1620 the smallest integer that is 2613060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1613 and 1620 is 2613060.

LCM(1613,1620) = 2613060

LCM of 1613 and 1620

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

LCM of:
and

Least Common Multiple of 1613 and 1620

LCM of 1613 and 1620 is 2613060

Least common multiple can be found by multiplying the highest exponent prime factors of 1613 and 1620. First we will calculate the prime factors of 1613 and 1620.

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 1620


2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1620 are 2, 3,5. Prime factorization of 1620 in exponential form is:

1620 = 22×34×51

Now multiplying the highest exponent prime factors to calculate the LCM of 1613 and 1620.

LCM(1613,1620) = 22×34×51×16131
LCM(1613,1620) = 2613060

Factors of 1613

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

1, 1613

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620

Least Common Multiple of 1613 and 1620 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 1620, than apply into the LCM equation.

GCF(1613,1620) = 1
LCM(1613,1620) = ( 1613 × 1620) / 1
LCM(1613,1620) = 2613060 / 1
LCM(1613,1620) = 2613060

Properties of LCM 1613 and 1620

(i) The LCM of 1620 and 1613 is associative

LCM of 1613 and 1620 = LCM of 1620 and 1613

Related Least Common Multiples of 1613

Related Least Common Multiples of 1620

Frequently Asked Questions on LCM of 1613 and 1620

1. What is the LCM of 1613 and 1620?

Answer: LCM of 1613 and 1620 is 2613060.

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 1620?

Answer: Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. There are 30 integers that are factors of 1620. The greatest factor of 1620 is 1620.

4. How to Find the LCM of 1613 and 1620?

Answer:

Least Common Multiple of 1613 and 1620 = 2613060

Step 1: Find the prime factorization of 1613

1613 = 1613

Step 2: Find the prime factorization of 1620

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

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

LCM = 2613060 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 1613

Step 4: Therefore, the least common multiple of 1613 and 1620 is 2613060.