Least Common Multiple of 613 and 615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 613 and 615 the smallest integer that is 376995 that is divisible by both numbers.

Least Common Multiple (LCM) of 613 and 615 is 376995.

LCM(613,615) = 376995

LCM of 613 and 615

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

LCM of:
and

Least Common Multiple of 613 and 615

LCM of 613 and 615 is 376995

Least common multiple can be found by multiplying the highest exponent prime factors of 613 and 615. First we will calculate the prime factors of 613 and 615.

Prime Factorization of 613


613 613
1

Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:

613 = 6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 613 and 615.

LCM(613,615) = 31×51×411×6131
LCM(613,615) = 376995

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1, 613

Factors of 615

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

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

Least Common Multiple of 613 and 615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 613 and 615, than apply into the LCM equation.

GCF(613,615) = 1
LCM(613,615) = ( 613 × 615) / 1
LCM(613,615) = 376995 / 1
LCM(613,615) = 376995

Properties of LCM 613 and 615

(i) The LCM of 615 and 613 is associative

LCM of 613 and 615 = LCM of 615 and 613

Related Least Common Multiples of 613

Related Least Common Multiples of 615

Frequently Asked Questions on LCM of 613 and 615

1. What is the LCM of 613 and 615?

Answer: LCM of 613 and 615 is 376995.

2. What are the Factors of 613?

Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.

3. 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.

4. How to Find the LCM of 613 and 615?

Answer:

Least Common Multiple of 613 and 615 = 376995

Step 1: Find the prime factorization of 613

613 = 613

Step 2: Find the prime factorization of 615

615 = 3 x 5 x 41

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

LCM = 376995 = 3 x 5 x 41 x 613

Step 4: Therefore, the least common multiple of 613 and 615 is 376995.