Least Common Multiple of 613 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 613 and 617 the smallest integer that is 378221 that is divisible by both numbers.

Least Common Multiple (LCM) of 613 and 617 is 378221.

LCM(613,617) = 378221

LCM of 613 and 617

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

LCM of:
and

Least Common Multiple of 613 and 617

LCM of 613 and 617 is 378221

Least common multiple can be found by multiplying the highest exponent prime factors of 613 and 617. First we will calculate the prime factors of 613 and 617.

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 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 613 and 617.

LCM(613,617) = 6131×6171
LCM(613,617) = 378221

Factors of 613

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

1, 613

Factors of 617

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

1, 617

Least Common Multiple of 613 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 613 and 617, than apply into the LCM equation.

GCF(613,617) = 1
LCM(613,617) = ( 613 × 617) / 1
LCM(613,617) = 378221 / 1
LCM(613,617) = 378221

Properties of LCM 613 and 617

(i) The LCM of 617 and 613 is associative

LCM of 613 and 617 = LCM of 617 and 613

Related Least Common Multiples of 613

Related Least Common Multiples of 617

Frequently Asked Questions on LCM of 613 and 617

1. What is the LCM of 613 and 617?

Answer: LCM of 613 and 617 is 378221.

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 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 613 and 617?

Answer:

Least Common Multiple of 613 and 617 = 378221

Step 1: Find the prime factorization of 613

613 = 613

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 = 378221 = 613 x 617

Step 4: Therefore, the least common multiple of 613 and 617 is 378221.