Least Common Multiple of 4548 and 4555

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 4555 the smallest integer that is 20716140 that is divisible by both numbers.

Least Common Multiple (LCM) of 4548 and 4555 is 20716140.

LCM(4548,4555) = 20716140

LCM of 4548 and 4555

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

LCM of:
and

Least Common Multiple of 4548 and 4555

LCM of 4548 and 4555 is 20716140

Least common multiple can be found by multiplying the highest exponent prime factors of 4548 and 4555. First we will calculate the prime factors of 4548 and 4555.

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 4555


5 4555
911 911
1

Prime factors of 4555 are 5,911. Prime factorization of 4555 in exponential form is:

4555 = 51×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 4548 and 4555.

LCM(4548,4555) = 22×31×51×3791×9111
LCM(4548,4555) = 20716140

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 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1, 5, 911, 4555

Least Common Multiple of 4548 and 4555 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 4555, than apply into the LCM equation.

GCF(4548,4555) = 1
LCM(4548,4555) = ( 4548 × 4555) / 1
LCM(4548,4555) = 20716140 / 1
LCM(4548,4555) = 20716140

Properties of LCM 4548 and 4555

(i) The LCM of 4555 and 4548 is associative

LCM of 4548 and 4555 = LCM of 4555 and 4548

Related Least Common Multiples of 4548

Related Least Common Multiples of 4555

Frequently Asked Questions on LCM of 4548 and 4555

1. What is the LCM of 4548 and 4555?

Answer: LCM of 4548 and 4555 is 20716140.

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 4555?

Answer: Factors of 4555 are 1, 5, 911, 4555. There are 4 integers that are factors of 4555. The greatest factor of 4555 is 4555.

4. How to Find the LCM of 4548 and 4555?

Answer:

Least Common Multiple of 4548 and 4555 = 20716140

Step 1: Find the prime factorization of 4548

4548 = 2 x 2 x 3 x 379

Step 2: Find the prime factorization of 4555

4555 = 5 x 911

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

LCM = 20716140 = 2 x 2 x 3 x 5 x 379 x 911

Step 4: Therefore, the least common multiple of 4548 and 4555 is 20716140.