Least Common Multiple of 8536 and 8540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8536 and 8540 the smallest integer that is 18224360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8536 and 8540 is 18224360.

LCM(8536,8540) = 18224360

LCM of 8536 and 8540

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

LCM of:
and

Least Common Multiple of 8536 and 8540

LCM of 8536 and 8540 is 18224360

Least common multiple can be found by multiplying the highest exponent prime factors of 8536 and 8540. First we will calculate the prime factors of 8536 and 8540.

Prime Factorization of 8536


2 8536
2 4268
2 2134
11 1067
97 97
1

Prime factors of 8536 are 2, 11,97. Prime factorization of 8536 in exponential form is:

8536 = 23×111×971

Prime Factorization of 8540


2 8540
2 4270
5 2135
7 427
61 61
1

Prime factors of 8540 are 2, 5, 7,61. Prime factorization of 8540 in exponential form is:

8540 = 22×51×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8536 and 8540.

LCM(8536,8540) = 23×51×71×111×611×971
LCM(8536,8540) = 18224360

Factors of 8536

List of positive integer factors of 8536 that divides 8536 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536

Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540

Least Common Multiple of 8536 and 8540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8536 and 8540, than apply into the LCM equation.

GCF(8536,8540) = 4
LCM(8536,8540) = ( 8536 × 8540) / 4
LCM(8536,8540) = 72897440 / 4
LCM(8536,8540) = 18224360

Properties of LCM 8536 and 8540

(i) The LCM of 8540 and 8536 is associative

LCM of 8536 and 8540 = LCM of 8540 and 8536

Related Least Common Multiples of 8536

Related Least Common Multiples of 8540

Frequently Asked Questions on LCM of 8536 and 8540

1. What is the LCM of 8536 and 8540?

Answer: LCM of 8536 and 8540 is 18224360.

2. What are the Factors of 8536?

Answer: Factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536. There are 16 integers that are factors of 8536. The greatest factor of 8536 is 8536.

3. What are the Factors of 8540?

Answer: Factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540. There are 24 integers that are factors of 8540. The greatest factor of 8540 is 8540.

4. How to Find the LCM of 8536 and 8540?

Answer:

Least Common Multiple of 8536 and 8540 = 18224360

Step 1: Find the prime factorization of 8536

8536 = 2 x 2 x 2 x 11 x 97

Step 2: Find the prime factorization of 8540

8540 = 2 x 2 x 5 x 7 x 61

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

LCM = 18224360 = 2 x 2 x 2 x 5 x 7 x 11 x 61 x 97

Step 4: Therefore, the least common multiple of 8536 and 8540 is 18224360.