Least Common Multiple of 4567 and 4574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4567 and 4574 the smallest integer that is 20889458 that is divisible by both numbers.

Least Common Multiple (LCM) of 4567 and 4574 is 20889458.

LCM(4567,4574) = 20889458

LCM of 4567 and 4574

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

LCM of:
and

Least Common Multiple of 4567 and 4574

LCM of 4567 and 4574 is 20889458

Least common multiple can be found by multiplying the highest exponent prime factors of 4567 and 4574. First we will calculate the prime factors of 4567 and 4574.

Prime Factorization of 4567


4567 4567
1

Prime factors of 4567 are 4567. Prime factorization of 4567 in exponential form is:

4567 = 45671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4567 and 4574.

LCM(4567,4574) = 21×22871×45671
LCM(4567,4574) = 20889458

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1, 4567

Factors of 4574

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

1, 2, 2287, 4574

Least Common Multiple of 4567 and 4574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4567 and 4574, than apply into the LCM equation.

GCF(4567,4574) = 1
LCM(4567,4574) = ( 4567 × 4574) / 1
LCM(4567,4574) = 20889458 / 1
LCM(4567,4574) = 20889458

Properties of LCM 4567 and 4574

(i) The LCM of 4574 and 4567 is associative

LCM of 4567 and 4574 = LCM of 4574 and 4567

Related Least Common Multiples of 4567

Related Least Common Multiples of 4574

Frequently Asked Questions on LCM of 4567 and 4574

1. What is the LCM of 4567 and 4574?

Answer: LCM of 4567 and 4574 is 20889458.

2. What are the Factors of 4567?

Answer: Factors of 4567 are 1, 4567. There are 2 integers that are factors of 4567. The greatest factor of 4567 is 4567.

3. 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.

4. How to Find the LCM of 4567 and 4574?

Answer:

Least Common Multiple of 4567 and 4574 = 20889458

Step 1: Find the prime factorization of 4567

4567 = 4567

Step 2: Find the prime factorization of 4574

4574 = 2 x 2287

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

LCM = 20889458 = 2 x 2287 x 4567

Step 4: Therefore, the least common multiple of 4567 and 4574 is 20889458.