Least Common Multiple of 4574 and 4579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4574 and 4579 the smallest integer that is 20944346 that is divisible by both numbers.

Least Common Multiple (LCM) of 4574 and 4579 is 20944346.

LCM(4574,4579) = 20944346

LCM of 4574 and 4579

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

LCM of:
and

Least Common Multiple of 4574 and 4579

LCM of 4574 and 4579 is 20944346

Least common multiple can be found by multiplying the highest exponent prime factors of 4574 and 4579. First we will calculate the prime factors of 4574 and 4579.

Prime Factorization of 4574


2 4574
2287 2287
1

Prime factors of 4574 are 2,2287. Prime factorization of 4574 in exponential form is:

4574 = 21×22871

Prime Factorization of 4579


19 4579
241 241
1

Prime factors of 4579 are 19,241. Prime factorization of 4579 in exponential form is:

4579 = 191×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 4574 and 4579.

LCM(4574,4579) = 21×191×2411×22871
LCM(4574,4579) = 20944346

Factors of 4574

List of positive integer factors of 4574 that divides 4574 without a remainder.

1, 2, 2287, 4574

Factors of 4579

List of positive integer factors of 4579 that divides 4579 without a remainder.

1, 19, 241, 4579

Least Common Multiple of 4574 and 4579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4574 and 4579, than apply into the LCM equation.

GCF(4574,4579) = 1
LCM(4574,4579) = ( 4574 × 4579) / 1
LCM(4574,4579) = 20944346 / 1
LCM(4574,4579) = 20944346

Properties of LCM 4574 and 4579

(i) The LCM of 4579 and 4574 is associative

LCM of 4574 and 4579 = LCM of 4579 and 4574

Related Least Common Multiples of 4574

Related Least Common Multiples of 4579

Frequently Asked Questions on LCM of 4574 and 4579

1. What is the LCM of 4574 and 4579?

Answer: LCM of 4574 and 4579 is 20944346.

2. What are the Factors of 4574?

Answer: Factors of 4574 are 1, 2, 2287, 4574. There are 4 integers that are factors of 4574. The greatest factor of 4574 is 4574.

3. What are the Factors of 4579?

Answer: Factors of 4579 are 1, 19, 241, 4579. There are 4 integers that are factors of 4579. The greatest factor of 4579 is 4579.

4. How to Find the LCM of 4574 and 4579?

Answer:

Least Common Multiple of 4574 and 4579 = 20944346

Step 1: Find the prime factorization of 4574

4574 = 2 x 2287

Step 2: Find the prime factorization of 4579

4579 = 19 x 241

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

LCM = 20944346 = 2 x 19 x 241 x 2287

Step 4: Therefore, the least common multiple of 4574 and 4579 is 20944346.