Least Common Multiple of 4548 and 4554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4548 and 4554 the smallest integer that is 3451932 that is divisible by both numbers.

Least Common Multiple (LCM) of 4548 and 4554 is 3451932.

LCM(4548,4554) = 3451932

LCM of 4548 and 4554

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

LCM of:
and

Least Common Multiple of 4548 and 4554

LCM of 4548 and 4554 is 3451932

Least common multiple can be found by multiplying the highest exponent prime factors of 4548 and 4554. First we will calculate the prime factors of 4548 and 4554.

Prime Factorization of 4548


2 4548
2 2274
3 1137
379 379
1

Prime factors of 4548 are 2, 3,379. Prime factorization of 4548 in exponential form is:

4548 = 22×31×3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4548 and 4554.

LCM(4548,4554) = 22×32×111×231×3791
LCM(4548,4554) = 3451932

Factors of 4548

List of positive integer factors of 4548 that divides 4548 without a remainder.

1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548

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

Least Common Multiple of 4548 and 4554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4548 and 4554, than apply into the LCM equation.

GCF(4548,4554) = 6
LCM(4548,4554) = ( 4548 × 4554) / 6
LCM(4548,4554) = 20711592 / 6
LCM(4548,4554) = 3451932

Properties of LCM 4548 and 4554

(i) The LCM of 4554 and 4548 is associative

LCM of 4548 and 4554 = LCM of 4554 and 4548

Related Least Common Multiples of 4548

Related Least Common Multiples of 4554

Frequently Asked Questions on LCM of 4548 and 4554

1. What is the LCM of 4548 and 4554?

Answer: LCM of 4548 and 4554 is 3451932.

2. What are the Factors of 4548?

Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.

3. 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.

4. How to Find the LCM of 4548 and 4554?

Answer:

Least Common Multiple of 4548 and 4554 = 3451932

Step 1: Find the prime factorization of 4548

4548 = 2 x 2 x 3 x 379

Step 2: Find the prime factorization of 4554

4554 = 2 x 3 x 3 x 11 x 23

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

LCM = 3451932 = 2 x 2 x 3 x 3 x 11 x 23 x 379

Step 4: Therefore, the least common multiple of 4548 and 4554 is 3451932.