Least Common Multiple of 1613 and 1621

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 1621 the smallest integer that is 2614673 that is divisible by both numbers.

Least Common Multiple (LCM) of 1613 and 1621 is 2614673.

LCM(1613,1621) = 2614673

LCM of 1613 and 1621

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

LCM of:
and

Least Common Multiple of 1613 and 1621

LCM of 1613 and 1621 is 2614673

Least common multiple can be found by multiplying the highest exponent prime factors of 1613 and 1621. First we will calculate the prime factors of 1613 and 1621.

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 1621


1621 1621
1

Prime factors of 1621 are 1621. Prime factorization of 1621 in exponential form is:

1621 = 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 1613 and 1621.

LCM(1613,1621) = 16131×16211
LCM(1613,1621) = 2614673

Factors of 1613

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

1, 1613

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1, 1621

Least Common Multiple of 1613 and 1621 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 1621, than apply into the LCM equation.

GCF(1613,1621) = 1
LCM(1613,1621) = ( 1613 × 1621) / 1
LCM(1613,1621) = 2614673 / 1
LCM(1613,1621) = 2614673

Properties of LCM 1613 and 1621

(i) The LCM of 1621 and 1613 is associative

LCM of 1613 and 1621 = LCM of 1621 and 1613

Related Least Common Multiples of 1613

Related Least Common Multiples of 1621

Frequently Asked Questions on LCM of 1613 and 1621

1. What is the LCM of 1613 and 1621?

Answer: LCM of 1613 and 1621 is 2614673.

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 1621?

Answer: Factors of 1621 are 1, 1621. There are 2 integers that are factors of 1621. The greatest factor of 1621 is 1621.

4. How to Find the LCM of 1613 and 1621?

Answer:

Least Common Multiple of 1613 and 1621 = 2614673

Step 1: Find the prime factorization of 1613

1613 = 1613

Step 2: Find the prime factorization of 1621

1621 = 1621

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

LCM = 2614673 = 1613 x 1621

Step 4: Therefore, the least common multiple of 1613 and 1621 is 2614673.