Least Common Multiple of 8542 and 8549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8542 and 8549 the smallest integer that is 73025558 that is divisible by both numbers.

Least Common Multiple (LCM) of 8542 and 8549 is 73025558.

LCM(8542,8549) = 73025558

LCM of 8542 and 8549

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

LCM of:
and

Least Common Multiple of 8542 and 8549

LCM of 8542 and 8549 is 73025558

Least common multiple can be found by multiplying the highest exponent prime factors of 8542 and 8549. First we will calculate the prime factors of 8542 and 8549.

Prime Factorization of 8542


2 8542
4271 4271
1

Prime factors of 8542 are 2,4271. Prime factorization of 8542 in exponential form is:

8542 = 21×42711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8542 and 8549.

LCM(8542,8549) = 21×831×1031×42711
LCM(8542,8549) = 73025558

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1, 2, 4271, 8542

Factors of 8549

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

1, 83, 103, 8549

Least Common Multiple of 8542 and 8549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8542 and 8549, than apply into the LCM equation.

GCF(8542,8549) = 1
LCM(8542,8549) = ( 8542 × 8549) / 1
LCM(8542,8549) = 73025558 / 1
LCM(8542,8549) = 73025558

Properties of LCM 8542 and 8549

(i) The LCM of 8549 and 8542 is associative

LCM of 8542 and 8549 = LCM of 8549 and 8542

Related Least Common Multiples of 8542

Related Least Common Multiples of 8549

Frequently Asked Questions on LCM of 8542 and 8549

1. What is the LCM of 8542 and 8549?

Answer: LCM of 8542 and 8549 is 73025558.

2. What are the Factors of 8542?

Answer: Factors of 8542 are 1, 2, 4271, 8542. There are 4 integers that are factors of 8542. The greatest factor of 8542 is 8542.

3. 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.

4. How to Find the LCM of 8542 and 8549?

Answer:

Least Common Multiple of 8542 and 8549 = 73025558

Step 1: Find the prime factorization of 8542

8542 = 2 x 4271

Step 2: Find the prime factorization of 8549

8549 = 83 x 103

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

LCM = 73025558 = 2 x 83 x 103 x 4271

Step 4: Therefore, the least common multiple of 8542 and 8549 is 73025558.