Least Common Multiple of 8752 and 8760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8752 and 8760 the smallest integer that is 9583440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8752 and 8760 is 9583440.

LCM(8752,8760) = 9583440

LCM of 8752 and 8760

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

LCM of:
and

Least Common Multiple of 8752 and 8760

LCM of 8752 and 8760 is 9583440

Least common multiple can be found by multiplying the highest exponent prime factors of 8752 and 8760. First we will calculate the prime factors of 8752 and 8760.

Prime Factorization of 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

Prime Factorization of 8760


2 8760
2 4380
2 2190
3 1095
5 365
73 73
1

Prime factors of 8760 are 2, 3, 5,73. Prime factorization of 8760 in exponential form is:

8760 = 23×31×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8752 and 8760.

LCM(8752,8760) = 24×31×51×731×5471
LCM(8752,8760) = 9583440

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760

Least Common Multiple of 8752 and 8760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8752 and 8760, than apply into the LCM equation.

GCF(8752,8760) = 8
LCM(8752,8760) = ( 8752 × 8760) / 8
LCM(8752,8760) = 76667520 / 8
LCM(8752,8760) = 9583440

Properties of LCM 8752 and 8760

(i) The LCM of 8760 and 8752 is associative

LCM of 8752 and 8760 = LCM of 8760 and 8752

Related Least Common Multiples of 8752

Related Least Common Multiples of 8760

Frequently Asked Questions on LCM of 8752 and 8760

1. What is the LCM of 8752 and 8760?

Answer: LCM of 8752 and 8760 is 9583440.

2. What are the Factors of 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

3. What are the Factors of 8760?

Answer: Factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760. There are 32 integers that are factors of 8760. The greatest factor of 8760 is 8760.

4. How to Find the LCM of 8752 and 8760?

Answer:

Least Common Multiple of 8752 and 8760 = 9583440

Step 1: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

Step 2: Find the prime factorization of 8760

8760 = 2 x 2 x 2 x 3 x 5 x 73

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

LCM = 9583440 = 2 x 2 x 2 x 2 x 3 x 5 x 73 x 547

Step 4: Therefore, the least common multiple of 8752 and 8760 is 9583440.