Least Common Multiple of 4609 and 4613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4609 and 4613 the smallest integer that is 21261317 that is divisible by both numbers.

Least Common Multiple (LCM) of 4609 and 4613 is 21261317.

LCM(4609,4613) = 21261317

LCM of 4609 and 4613

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

LCM of:
and

Least Common Multiple of 4609 and 4613

LCM of 4609 and 4613 is 21261317

Least common multiple can be found by multiplying the highest exponent prime factors of 4609 and 4613. First we will calculate the prime factors of 4609 and 4613.

Prime Factorization of 4609


11 4609
419 419
1

Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:

4609 = 111×4191

Prime Factorization of 4613


7 4613
659 659
1

Prime factors of 4613 are 7,659. Prime factorization of 4613 in exponential form is:

4613 = 71×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 4609 and 4613.

LCM(4609,4613) = 71×111×4191×6591
LCM(4609,4613) = 21261317

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1, 11, 419, 4609

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1, 7, 659, 4613

Least Common Multiple of 4609 and 4613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4609 and 4613, than apply into the LCM equation.

GCF(4609,4613) = 1
LCM(4609,4613) = ( 4609 × 4613) / 1
LCM(4609,4613) = 21261317 / 1
LCM(4609,4613) = 21261317

Properties of LCM 4609 and 4613

(i) The LCM of 4613 and 4609 is associative

LCM of 4609 and 4613 = LCM of 4613 and 4609

Related Least Common Multiples of 4609

Related Least Common Multiples of 4613

Frequently Asked Questions on LCM of 4609 and 4613

1. What is the LCM of 4609 and 4613?

Answer: LCM of 4609 and 4613 is 21261317.

2. What are the Factors of 4609?

Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.

3. What are the Factors of 4613?

Answer: Factors of 4613 are 1, 7, 659, 4613. There are 4 integers that are factors of 4613. The greatest factor of 4613 is 4613.

4. How to Find the LCM of 4609 and 4613?

Answer:

Least Common Multiple of 4609 and 4613 = 21261317

Step 1: Find the prime factorization of 4609

4609 = 11 x 419

Step 2: Find the prime factorization of 4613

4613 = 7 x 659

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

LCM = 21261317 = 7 x 11 x 419 x 659

Step 4: Therefore, the least common multiple of 4609 and 4613 is 21261317.