Least Common Multiple of 609 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 609 and 613 the smallest integer that is 373317 that is divisible by both numbers.

Least Common Multiple (LCM) of 609 and 613 is 373317.

LCM(609,613) = 373317

LCM of 609 and 613

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

LCM of:
and

Least Common Multiple of 609 and 613

LCM of 609 and 613 is 373317

Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 613. First we will calculate the prime factors of 609 and 613.

Prime Factorization of 609


3 609
7 203
29 29
1

Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

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 609 and 613.

LCM(609,613) = 31×71×291×6131
LCM(609,613) = 373317

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Factors of 613

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

1, 613

Least Common Multiple of 609 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 609 and 613, than apply into the LCM equation.

GCF(609,613) = 1
LCM(609,613) = ( 609 × 613) / 1
LCM(609,613) = 373317 / 1
LCM(609,613) = 373317

Properties of LCM 609 and 613

(i) The LCM of 613 and 609 is associative

LCM of 609 and 613 = LCM of 613 and 609

Related Least Common Multiples of 609

Related Least Common Multiples of 613

Frequently Asked Questions on LCM of 609 and 613

1. What is the LCM of 609 and 613?

Answer: LCM of 609 and 613 is 373317.

2. What are the Factors of 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

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 609 and 613?

Answer:

Least Common Multiple of 609 and 613 = 373317

Step 1: Find the prime factorization of 609

609 = 3 x 7 x 29

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 = 373317 = 3 x 7 x 29 x 613

Step 4: Therefore, the least common multiple of 609 and 613 is 373317.