Least Common Multiple of 613 and 616

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 616 the smallest integer that is 377608 that is divisible by both numbers.

Least Common Multiple (LCM) of 613 and 616 is 377608.

LCM(613,616) = 377608

LCM of 613 and 616

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

LCM of:
and

Least Common Multiple of 613 and 616

LCM of 613 and 616 is 377608

Least common multiple can be found by multiplying the highest exponent prime factors of 613 and 616. First we will calculate the prime factors of 613 and 616.

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 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 613 and 616.

LCM(613,616) = 23×71×111×6131
LCM(613,616) = 377608

Factors of 613

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

1, 613

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Least Common Multiple of 613 and 616 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 616, than apply into the LCM equation.

GCF(613,616) = 1
LCM(613,616) = ( 613 × 616) / 1
LCM(613,616) = 377608 / 1
LCM(613,616) = 377608

Properties of LCM 613 and 616

(i) The LCM of 616 and 613 is associative

LCM of 613 and 616 = LCM of 616 and 613

Related Least Common Multiples of 613

Related Least Common Multiples of 616

Frequently Asked Questions on LCM of 613 and 616

1. What is the LCM of 613 and 616?

Answer: LCM of 613 and 616 is 377608.

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 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the LCM of 613 and 616?

Answer:

Least Common Multiple of 613 and 616 = 377608

Step 1: Find the prime factorization of 613

613 = 613

Step 2: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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

LCM = 377608 = 2 x 2 x 2 x 7 x 11 x 613

Step 4: Therefore, the least common multiple of 613 and 616 is 377608.