Least Common Multiple of 1613 and 1618

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 1618 the smallest integer that is 2609834 that is divisible by both numbers.

Least Common Multiple (LCM) of 1613 and 1618 is 2609834.

LCM(1613,1618) = 2609834

LCM of 1613 and 1618

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

LCM of:
and

Least Common Multiple of 1613 and 1618

LCM of 1613 and 1618 is 2609834

Least common multiple can be found by multiplying the highest exponent prime factors of 1613 and 1618. First we will calculate the prime factors of 1613 and 1618.

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 1618


2 1618
809 809
1

Prime factors of 1618 are 2,809. Prime factorization of 1618 in exponential form is:

1618 = 21×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 1613 and 1618.

LCM(1613,1618) = 21×8091×16131
LCM(1613,1618) = 2609834

Factors of 1613

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

1, 1613

Factors of 1618

List of positive integer factors of 1618 that divides 1618 without a remainder.

1, 2, 809, 1618

Least Common Multiple of 1613 and 1618 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 1618, than apply into the LCM equation.

GCF(1613,1618) = 1
LCM(1613,1618) = ( 1613 × 1618) / 1
LCM(1613,1618) = 2609834 / 1
LCM(1613,1618) = 2609834

Properties of LCM 1613 and 1618

(i) The LCM of 1618 and 1613 is associative

LCM of 1613 and 1618 = LCM of 1618 and 1613

Related Least Common Multiples of 1613

Related Least Common Multiples of 1618

Frequently Asked Questions on LCM of 1613 and 1618

1. What is the LCM of 1613 and 1618?

Answer: LCM of 1613 and 1618 is 2609834.

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 1618?

Answer: Factors of 1618 are 1, 2, 809, 1618. There are 4 integers that are factors of 1618. The greatest factor of 1618 is 1618.

4. How to Find the LCM of 1613 and 1618?

Answer:

Least Common Multiple of 1613 and 1618 = 2609834

Step 1: Find the prime factorization of 1613

1613 = 1613

Step 2: Find the prime factorization of 1618

1618 = 2 x 809

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

LCM = 2609834 = 2 x 809 x 1613

Step 4: Therefore, the least common multiple of 1613 and 1618 is 2609834.