Least Common Multiple of 615 and 617

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 617 the smallest integer that is 379455 that is divisible by both numbers.

Least Common Multiple (LCM) of 615 and 617 is 379455.

LCM(615,617) = 379455

LCM of 615 and 617

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

LCM of:
and

Least Common Multiple of 615 and 617

LCM of 615 and 617 is 379455

Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 617. First we will calculate the prime factors of 615 and 617.

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 617


617 617
1

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

617 = 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 617.

LCM(615,617) = 31×51×411×6171
LCM(615,617) = 379455

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 617

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

1, 617

Least Common Multiple of 615 and 617 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 617, than apply into the LCM equation.

GCF(615,617) = 1
LCM(615,617) = ( 615 × 617) / 1
LCM(615,617) = 379455 / 1
LCM(615,617) = 379455

Properties of LCM 615 and 617

(i) The LCM of 617 and 615 is associative

LCM of 615 and 617 = LCM of 617 and 615

Related Least Common Multiples of 615

Related Least Common Multiples of 617

Frequently Asked Questions on LCM of 615 and 617

1. What is the LCM of 615 and 617?

Answer: LCM of 615 and 617 is 379455.

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 617?

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

4. How to Find the LCM of 615 and 617?

Answer:

Least Common Multiple of 615 and 617 = 379455

Step 1: Find the prime factorization of 615

615 = 3 x 5 x 41

Step 2: Find the prime factorization of 617

617 = 617

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

LCM = 379455 = 3 x 5 x 41 x 617

Step 4: Therefore, the least common multiple of 615 and 617 is 379455.