Least Common Multiple of 620 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 620 and 621 the smallest integer that is 385020 that is divisible by both numbers.

Least Common Multiple (LCM) of 620 and 621 is 385020.

LCM(620,621) = 385020

LCM of 620 and 621

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

LCM of:
and

Least Common Multiple of 620 and 621

LCM of 620 and 621 is 385020

Least common multiple can be found by multiplying the highest exponent prime factors of 620 and 621. First we will calculate the prime factors of 620 and 621.

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

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 620 and 621.

LCM(620,621) = 22×33×51×231×311
LCM(620,621) = 385020

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 620 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 620 and 621, than apply into the LCM equation.

GCF(620,621) = 1
LCM(620,621) = ( 620 × 621) / 1
LCM(620,621) = 385020 / 1
LCM(620,621) = 385020

Properties of LCM 620 and 621

(i) The LCM of 621 and 620 is associative

LCM of 620 and 621 = LCM of 621 and 620

Frequently Asked Questions on LCM of 620 and 621

1. What is the LCM of 620 and 621?

Answer: LCM of 620 and 621 is 385020.

2. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

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 620 and 621?

Answer:

Least Common Multiple of 620 and 621 = 385020

Step 1: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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 = 385020 = 2 x 2 x 3 x 3 x 3 x 5 x 23 x 31

Step 4: Therefore, the least common multiple of 620 and 621 is 385020.