Least Common Multiple of 4605 and 4609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4605 and 4609 the smallest integer that is 21224445 that is divisible by both numbers.

Least Common Multiple (LCM) of 4605 and 4609 is 21224445.

LCM(4605,4609) = 21224445

LCM of 4605 and 4609

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

LCM of:
and

Least Common Multiple of 4605 and 4609

LCM of 4605 and 4609 is 21224445

Least common multiple can be found by multiplying the highest exponent prime factors of 4605 and 4609. First we will calculate the prime factors of 4605 and 4609.

Prime Factorization of 4605


3 4605
5 1535
307 307
1

Prime factors of 4605 are 3, 5,307. Prime factorization of 4605 in exponential form is:

4605 = 31×51×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4605 and 4609.

LCM(4605,4609) = 31×51×111×3071×4191
LCM(4605,4609) = 21224445

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1, 3, 5, 15, 307, 921, 1535, 4605

Factors of 4609

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

1, 11, 419, 4609

Least Common Multiple of 4605 and 4609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4605 and 4609, than apply into the LCM equation.

GCF(4605,4609) = 1
LCM(4605,4609) = ( 4605 × 4609) / 1
LCM(4605,4609) = 21224445 / 1
LCM(4605,4609) = 21224445

Properties of LCM 4605 and 4609

(i) The LCM of 4609 and 4605 is associative

LCM of 4605 and 4609 = LCM of 4609 and 4605

Related Least Common Multiples of 4605

Related Least Common Multiples of 4609

Frequently Asked Questions on LCM of 4605 and 4609

1. What is the LCM of 4605 and 4609?

Answer: LCM of 4605 and 4609 is 21224445.

2. What are the Factors of 4605?

Answer: Factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605. There are 8 integers that are factors of 4605. The greatest factor of 4605 is 4605.

3. 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.

4. How to Find the LCM of 4605 and 4609?

Answer:

Least Common Multiple of 4605 and 4609 = 21224445

Step 1: Find the prime factorization of 4605

4605 = 3 x 5 x 307

Step 2: Find the prime factorization of 4609

4609 = 11 x 419

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

LCM = 21224445 = 3 x 5 x 11 x 307 x 419

Step 4: Therefore, the least common multiple of 4605 and 4609 is 21224445.