Least Common Multiple of 8520 and 8527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8520 and 8527 the smallest integer that is 72650040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8520 and 8527 is 72650040.

LCM(8520,8527) = 72650040

LCM of 8520 and 8527

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

LCM of:
and

Least Common Multiple of 8520 and 8527

LCM of 8520 and 8527 is 72650040

Least common multiple can be found by multiplying the highest exponent prime factors of 8520 and 8527. First we will calculate the prime factors of 8520 and 8527.

Prime Factorization of 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2, 3, 5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

Prime Factorization of 8527


8527 8527
1

Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:

8527 = 85271

Now multiplying the highest exponent prime factors to calculate the LCM of 8520 and 8527.

LCM(8520,8527) = 23×31×51×711×85271
LCM(8520,8527) = 72650040

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520

Factors of 8527

List of positive integer factors of 8527 that divides 8527 without a remainder.

1, 8527

Least Common Multiple of 8520 and 8527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8520 and 8527, than apply into the LCM equation.

GCF(8520,8527) = 1
LCM(8520,8527) = ( 8520 × 8527) / 1
LCM(8520,8527) = 72650040 / 1
LCM(8520,8527) = 72650040

Properties of LCM 8520 and 8527

(i) The LCM of 8527 and 8520 is associative

LCM of 8520 and 8527 = LCM of 8527 and 8520

Related Least Common Multiples of 8520

Related Least Common Multiples of 8527

Frequently Asked Questions on LCM of 8520 and 8527

1. What is the LCM of 8520 and 8527?

Answer: LCM of 8520 and 8527 is 72650040.

2. What are the Factors of 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

3. What are the Factors of 8527?

Answer: Factors of 8527 are 1, 8527. There are 2 integers that are factors of 8527. The greatest factor of 8527 is 8527.

4. How to Find the LCM of 8520 and 8527?

Answer:

Least Common Multiple of 8520 and 8527 = 72650040

Step 1: Find the prime factorization of 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

Step 2: Find the prime factorization of 8527

8527 = 8527

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

LCM = 72650040 = 2 x 2 x 2 x 3 x 5 x 71 x 8527

Step 4: Therefore, the least common multiple of 8520 and 8527 is 72650040.