Least Common Multiple of 611 and 613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 611 and 613 the smallest integer that is 374543 that is divisible by both numbers.

Least Common Multiple (LCM) of 611 and 613 is 374543.

LCM(611,613) = 374543

LCM of 611 and 613

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

LCM of:
and

Least Common Multiple of 611 and 613

LCM of 611 and 613 is 374543

Least common multiple can be found by multiplying the highest exponent prime factors of 611 and 613. First we will calculate the prime factors of 611 and 613.

Prime Factorization of 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Prime Factorization of 613


613 613
1

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

613 = 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 611 and 613.

LCM(611,613) = 131×471×6131
LCM(611,613) = 374543

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Factors of 613

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

1, 613

Least Common Multiple of 611 and 613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 611 and 613, than apply into the LCM equation.

GCF(611,613) = 1
LCM(611,613) = ( 611 × 613) / 1
LCM(611,613) = 374543 / 1
LCM(611,613) = 374543

Properties of LCM 611 and 613

(i) The LCM of 613 and 611 is associative

LCM of 611 and 613 = LCM of 613 and 611

Related Least Common Multiples of 611

Related Least Common Multiples of 613

Frequently Asked Questions on LCM of 611 and 613

1. What is the LCM of 611 and 613?

Answer: LCM of 611 and 613 is 374543.

2. What are the Factors of 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

3. 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.

4. How to Find the LCM of 611 and 613?

Answer:

Least Common Multiple of 611 and 613 = 374543

Step 1: Find the prime factorization of 611

611 = 13 x 47

Step 2: Find the prime factorization of 613

613 = 613

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

LCM = 374543 = 13 x 47 x 613

Step 4: Therefore, the least common multiple of 611 and 613 is 374543.