Least Common Multiple of 615 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 615 and 621 the smallest integer that is 127305 that is divisible by both numbers.

Least Common Multiple (LCM) of 615 and 621 is 127305.

LCM(615,621) = 127305

LCM of 615 and 621

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

LCM of:
and

Least Common Multiple of 615 and 621

LCM of 615 and 621 is 127305

Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 621. First we will calculate the prime factors of 615 and 621.

Prime Factorization of 615


3 615
5 205
41 41
1

Prime factors of 615 are 3, 5,41. Prime factorization of 615 in exponential form is:

615 = 31×51×411

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 615 and 621.

LCM(615,621) = 33×51×231×411
LCM(615,621) = 127305

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

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 615 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 615 and 621, than apply into the LCM equation.

GCF(615,621) = 3
LCM(615,621) = ( 615 × 621) / 3
LCM(615,621) = 381915 / 3
LCM(615,621) = 127305

Properties of LCM 615 and 621

(i) The LCM of 621 and 615 is associative

LCM of 615 and 621 = LCM of 621 and 615

Related Least Common Multiples of 615

Related Least Common Multiples of 621

Frequently Asked Questions on LCM of 615 and 621

1. What is the LCM of 615 and 621?

Answer: LCM of 615 and 621 is 127305.

2. What are the Factors of 615?

Answer: Factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615. There are 8 integers that are factors of 615. The greatest factor of 615 is 615.

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 615 and 621?

Answer:

Least Common Multiple of 615 and 621 = 127305

Step 1: Find the prime factorization of 615

615 = 3 x 5 x 41

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 = 127305 = 3 x 3 x 3 x 5 x 23 x 41

Step 4: Therefore, the least common multiple of 615 and 621 is 127305.