Least Common Multiple of 4554 and 4562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4554 and 4562 the smallest integer that is 10387674 that is divisible by both numbers.

Least Common Multiple (LCM) of 4554 and 4562 is 10387674.

LCM(4554,4562) = 10387674

LCM of 4554 and 4562

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

LCM of:
and

Least Common Multiple of 4554 and 4562

LCM of 4554 and 4562 is 10387674

Least common multiple can be found by multiplying the highest exponent prime factors of 4554 and 4562. First we will calculate the prime factors of 4554 and 4562.

Prime Factorization of 4554


2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 4554 are 2, 3, 11,23. Prime factorization of 4554 in exponential form is:

4554 = 21×32×111×231

Prime Factorization of 4562


2 4562
2281 2281
1

Prime factors of 4562 are 2,2281. Prime factorization of 4562 in exponential form is:

4562 = 21×22811

Now multiplying the highest exponent prime factors to calculate the LCM of 4554 and 4562.

LCM(4554,4562) = 21×32×111×231×22811
LCM(4554,4562) = 10387674

Factors of 4554

List of positive integer factors of 4554 that divides 4554 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554

Factors of 4562

List of positive integer factors of 4562 that divides 4562 without a remainder.

1, 2, 2281, 4562

Least Common Multiple of 4554 and 4562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4554 and 4562, than apply into the LCM equation.

GCF(4554,4562) = 2
LCM(4554,4562) = ( 4554 × 4562) / 2
LCM(4554,4562) = 20775348 / 2
LCM(4554,4562) = 10387674

Properties of LCM 4554 and 4562

(i) The LCM of 4562 and 4554 is associative

LCM of 4554 and 4562 = LCM of 4562 and 4554

Related Least Common Multiples of 4554

Related Least Common Multiples of 4562

Frequently Asked Questions on LCM of 4554 and 4562

1. What is the LCM of 4554 and 4562?

Answer: LCM of 4554 and 4562 is 10387674.

2. What are the Factors of 4554?

Answer: Factors of 4554 are 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554. There are 24 integers that are factors of 4554. The greatest factor of 4554 is 4554.

3. What are the Factors of 4562?

Answer: Factors of 4562 are 1, 2, 2281, 4562. There are 4 integers that are factors of 4562. The greatest factor of 4562 is 4562.

4. How to Find the LCM of 4554 and 4562?

Answer:

Least Common Multiple of 4554 and 4562 = 10387674

Step 1: Find the prime factorization of 4554

4554 = 2 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 4562

4562 = 2 x 2281

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

LCM = 10387674 = 2 x 3 x 3 x 11 x 23 x 2281

Step 4: Therefore, the least common multiple of 4554 and 4562 is 10387674.