Least Common Multiple of 8549 and 8552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8549 and 8552 the smallest integer that is 73111048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8549 and 8552 is 73111048.

LCM(8549,8552) = 73111048

LCM of 8549 and 8552

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

LCM of:
and

Least Common Multiple of 8549 and 8552

LCM of 8549 and 8552 is 73111048

Least common multiple can be found by multiplying the highest exponent prime factors of 8549 and 8552. First we will calculate the prime factors of 8549 and 8552.

Prime Factorization of 8549


83 8549
103 103
1

Prime factors of 8549 are 83,103. Prime factorization of 8549 in exponential form is:

8549 = 831×1031

Prime Factorization of 8552


2 8552
2 4276
2 2138
1069 1069
1

Prime factors of 8552 are 2,1069. Prime factorization of 8552 in exponential form is:

8552 = 23×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 8549 and 8552.

LCM(8549,8552) = 23×831×1031×10691
LCM(8549,8552) = 73111048

Factors of 8549

List of positive integer factors of 8549 that divides 8549 without a remainder.

1, 83, 103, 8549

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1, 2, 4, 8, 1069, 2138, 4276, 8552

Least Common Multiple of 8549 and 8552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8549 and 8552, than apply into the LCM equation.

GCF(8549,8552) = 1
LCM(8549,8552) = ( 8549 × 8552) / 1
LCM(8549,8552) = 73111048 / 1
LCM(8549,8552) = 73111048

Properties of LCM 8549 and 8552

(i) The LCM of 8552 and 8549 is associative

LCM of 8549 and 8552 = LCM of 8552 and 8549

Related Least Common Multiples of 8549

Related Least Common Multiples of 8552

Frequently Asked Questions on LCM of 8549 and 8552

1. What is the LCM of 8549 and 8552?

Answer: LCM of 8549 and 8552 is 73111048.

2. What are the Factors of 8549?

Answer: Factors of 8549 are 1, 83, 103, 8549. There are 4 integers that are factors of 8549. The greatest factor of 8549 is 8549.

3. What are the Factors of 8552?

Answer: Factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552. There are 8 integers that are factors of 8552. The greatest factor of 8552 is 8552.

4. How to Find the LCM of 8549 and 8552?

Answer:

Least Common Multiple of 8549 and 8552 = 73111048

Step 1: Find the prime factorization of 8549

8549 = 83 x 103

Step 2: Find the prime factorization of 8552

8552 = 2 x 2 x 2 x 1069

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

LCM = 73111048 = 2 x 2 x 2 x 83 x 103 x 1069

Step 4: Therefore, the least common multiple of 8549 and 8552 is 73111048.