Least Common Multiple of 8761 and 8766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8761 and 8766 the smallest integer that is 76798926 that is divisible by both numbers.

Least Common Multiple (LCM) of 8761 and 8766 is 76798926.

LCM(8761,8766) = 76798926

LCM of 8761 and 8766

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

LCM of:
and

Least Common Multiple of 8761 and 8766

LCM of 8761 and 8766 is 76798926

Least common multiple can be found by multiplying the highest exponent prime factors of 8761 and 8766. First we will calculate the prime factors of 8761 and 8766.

Prime Factorization of 8761


8761 8761
1

Prime factors of 8761 are 8761. Prime factorization of 8761 in exponential form is:

8761 = 87611

Prime Factorization of 8766


2 8766
3 4383
3 1461
487 487
1

Prime factors of 8766 are 2, 3,487. Prime factorization of 8766 in exponential form is:

8766 = 21×32×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 8761 and 8766.

LCM(8761,8766) = 21×32×4871×87611
LCM(8761,8766) = 76798926

Factors of 8761

List of positive integer factors of 8761 that divides 8761 without a remainder.

1, 8761

Factors of 8766

List of positive integer factors of 8766 that divides 8766 without a remainder.

1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766

Least Common Multiple of 8761 and 8766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8761 and 8766, than apply into the LCM equation.

GCF(8761,8766) = 1
LCM(8761,8766) = ( 8761 × 8766) / 1
LCM(8761,8766) = 76798926 / 1
LCM(8761,8766) = 76798926

Properties of LCM 8761 and 8766

(i) The LCM of 8766 and 8761 is associative

LCM of 8761 and 8766 = LCM of 8766 and 8761

Related Least Common Multiples of 8761

Related Least Common Multiples of 8766

Frequently Asked Questions on LCM of 8761 and 8766

1. What is the LCM of 8761 and 8766?

Answer: LCM of 8761 and 8766 is 76798926.

2. What are the Factors of 8761?

Answer: Factors of 8761 are 1, 8761. There are 2 integers that are factors of 8761. The greatest factor of 8761 is 8761.

3. What are the Factors of 8766?

Answer: Factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766. There are 12 integers that are factors of 8766. The greatest factor of 8766 is 8766.

4. How to Find the LCM of 8761 and 8766?

Answer:

Least Common Multiple of 8761 and 8766 = 76798926

Step 1: Find the prime factorization of 8761

8761 = 8761

Step 2: Find the prime factorization of 8766

8766 = 2 x 3 x 3 x 487

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

LCM = 76798926 = 2 x 3 x 3 x 487 x 8761

Step 4: Therefore, the least common multiple of 8761 and 8766 is 76798926.