Least Common Multiple of 613 and 620

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 620 the smallest integer that is 380060 that is divisible by both numbers.

Least Common Multiple (LCM) of 613 and 620 is 380060.

LCM(613,620) = 380060

LCM of 613 and 620

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

LCM of:
and

Least Common Multiple of 613 and 620

LCM of 613 and 620 is 380060

Least common multiple can be found by multiplying the highest exponent prime factors of 613 and 620. First we will calculate the prime factors of 613 and 620.

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 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 613 and 620.

LCM(613,620) = 22×51×311×6131
LCM(613,620) = 380060

Factors of 613

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

1, 613

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Least Common Multiple of 613 and 620 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 620, than apply into the LCM equation.

GCF(613,620) = 1
LCM(613,620) = ( 613 × 620) / 1
LCM(613,620) = 380060 / 1
LCM(613,620) = 380060

Properties of LCM 613 and 620

(i) The LCM of 620 and 613 is associative

LCM of 613 and 620 = LCM of 620 and 613

Related Least Common Multiples of 613

Related Least Common Multiples of 620

Frequently Asked Questions on LCM of 613 and 620

1. What is the LCM of 613 and 620?

Answer: LCM of 613 and 620 is 380060.

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 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the LCM of 613 and 620?

Answer:

Least Common Multiple of 613 and 620 = 380060

Step 1: Find the prime factorization of 613

613 = 613

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 380060 = 2 x 2 x 5 x 31 x 613

Step 4: Therefore, the least common multiple of 613 and 620 is 380060.