Least Common Multiple of 1616 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 1616 and 1621 the smallest integer that is 2619536 that is divisible by both numbers.

Least Common Multiple (LCM) of 1616 and 1621 is 2619536.

LCM(1616,1621) = 2619536

LCM of 1616 and 1621

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

LCM of:
and

Least Common Multiple of 1616 and 1621

LCM of 1616 and 1621 is 2619536

Least common multiple can be found by multiplying the highest exponent prime factors of 1616 and 1621. First we will calculate the prime factors of 1616 and 1621.

Prime Factorization of 1616


2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 1616 are 2,101. Prime factorization of 1616 in exponential form is:

1616 = 24×1011

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 1616 and 1621.

LCM(1616,1621) = 24×1011×16211
LCM(1616,1621) = 2619536

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1, 2, 4, 8, 16, 101, 202, 404, 808, 1616

Factors of 1621

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

1, 1621

Least Common Multiple of 1616 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 1616 and 1621, than apply into the LCM equation.

GCF(1616,1621) = 1
LCM(1616,1621) = ( 1616 × 1621) / 1
LCM(1616,1621) = 2619536 / 1
LCM(1616,1621) = 2619536

Properties of LCM 1616 and 1621

(i) The LCM of 1621 and 1616 is associative

LCM of 1616 and 1621 = LCM of 1621 and 1616

Related Least Common Multiples of 1616

Related Least Common Multiples of 1621

Frequently Asked Questions on LCM of 1616 and 1621

1. What is the LCM of 1616 and 1621?

Answer: LCM of 1616 and 1621 is 2619536.

2. What are the Factors of 1616?

Answer: Factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. There are 10 integers that are factors of 1616. The greatest factor of 1616 is 1616.

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 1616 and 1621?

Answer:

Least Common Multiple of 1616 and 1621 = 2619536

Step 1: Find the prime factorization of 1616

1616 = 2 x 2 x 2 x 2 x 101

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 = 2619536 = 2 x 2 x 2 x 2 x 101 x 1621

Step 4: Therefore, the least common multiple of 1616 and 1621 is 2619536.