Least Common Multiple of 614 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 614 and 621 the smallest integer that is 381294 that is divisible by both numbers.

Least Common Multiple (LCM) of 614 and 621 is 381294.

LCM(614,621) = 381294

LCM of 614 and 621

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

LCM of:
and

Least Common Multiple of 614 and 621

LCM of 614 and 621 is 381294

Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 621. First we will calculate the prime factors of 614 and 621.

Prime Factorization of 614


2 614
307 307
1

Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:

614 = 21×3071

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 614 and 621.

LCM(614,621) = 21×33×231×3071
LCM(614,621) = 381294

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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 614 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 614 and 621, than apply into the LCM equation.

GCF(614,621) = 1
LCM(614,621) = ( 614 × 621) / 1
LCM(614,621) = 381294 / 1
LCM(614,621) = 381294

Properties of LCM 614 and 621

(i) The LCM of 621 and 614 is associative

LCM of 614 and 621 = LCM of 621 and 614

Related Least Common Multiples of 614

Related Least Common Multiples of 621

Frequently Asked Questions on LCM of 614 and 621

1. What is the LCM of 614 and 621?

Answer: LCM of 614 and 621 is 381294.

2. What are the Factors of 614?

Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.

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 614 and 621?

Answer:

Least Common Multiple of 614 and 621 = 381294

Step 1: Find the prime factorization of 614

614 = 2 x 307

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 = 381294 = 2 x 3 x 3 x 3 x 23 x 307

Step 4: Therefore, the least common multiple of 614 and 621 is 381294.