Least Common Multiple of 616 and 621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 616 and 621 the smallest integer that is 382536 that is divisible by both numbers.

Least Common Multiple (LCM) of 616 and 621 is 382536.

LCM(616,621) = 382536

LCM of 616 and 621

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

LCM of:
and

Least Common Multiple of 616 and 621

LCM of 616 and 621 is 382536

Least common multiple can be found by multiplying the highest exponent prime factors of 616 and 621. First we will calculate the prime factors of 616 and 621.

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Prime Factorization of 621


3 621
3 207
3 69
23 23
1

Prime factors of 621 are 3,23. Prime factorization of 621 in exponential form is:

621 = 33×231

Now multiplying the highest exponent prime factors to calculate the LCM of 616 and 621.

LCM(616,621) = 23×33×71×111×231
LCM(616,621) = 382536

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Least Common Multiple of 616 and 621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 616 and 621, than apply into the LCM equation.

GCF(616,621) = 1
LCM(616,621) = ( 616 × 621) / 1
LCM(616,621) = 382536 / 1
LCM(616,621) = 382536

Properties of LCM 616 and 621

(i) The LCM of 621 and 616 is associative

LCM of 616 and 621 = LCM of 621 and 616

Related Least Common Multiples of 616

Related Least Common Multiples of 621

Frequently Asked Questions on LCM of 616 and 621

1. What is the LCM of 616 and 621?

Answer: LCM of 616 and 621 is 382536.

2. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

3. What are the Factors of 621?

Answer: Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. There are 8 integers that are factors of 621. The greatest factor of 621 is 621.

4. How to Find the LCM of 616 and 621?

Answer:

Least Common Multiple of 616 and 621 = 382536

Step 1: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 621

621 = 3 x 3 x 3 x 23

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

LCM = 382536 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 616 and 621 is 382536.