Least Common Multiple of 617 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 617 and 621 the smallest integer that is 383157 that is divisible by both numbers.

Least Common Multiple (LCM) of 617 and 621 is 383157.

LCM(617,621) = 383157

LCM of 617 and 621

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

LCM of:
and

Least Common Multiple of 617 and 621

LCM of 617 and 621 is 383157

Least common multiple can be found by multiplying the highest exponent prime factors of 617 and 621. First we will calculate the prime factors of 617 and 621.

Prime Factorization of 617


617 617
1

Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:

617 = 6171

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 617 and 621.

LCM(617,621) = 33×231×6171
LCM(617,621) = 383157

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1, 617

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 617 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 617 and 621, than apply into the LCM equation.

GCF(617,621) = 1
LCM(617,621) = ( 617 × 621) / 1
LCM(617,621) = 383157 / 1
LCM(617,621) = 383157

Properties of LCM 617 and 621

(i) The LCM of 621 and 617 is associative

LCM of 617 and 621 = LCM of 621 and 617

Related Least Common Multiples of 617

Related Least Common Multiples of 621

Frequently Asked Questions on LCM of 617 and 621

1. What is the LCM of 617 and 621?

Answer: LCM of 617 and 621 is 383157.

2. What are the Factors of 617?

Answer: Factors of 617 are 1, 617. There are 2 integers that are factors of 617. The greatest factor of 617 is 617.

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 617 and 621?

Answer:

Least Common Multiple of 617 and 621 = 383157

Step 1: Find the prime factorization of 617

617 = 617

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 = 383157 = 3 x 3 x 3 x 23 x 617

Step 4: Therefore, the least common multiple of 617 and 621 is 383157.