Least Common Multiple of 8770 and 8778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8770 and 8778 the smallest integer that is 38491530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8770 and 8778 is 38491530.

LCM(8770,8778) = 38491530

LCM of 8770 and 8778

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

LCM of:
and

Least Common Multiple of 8770 and 8778

LCM of 8770 and 8778 is 38491530

Least common multiple can be found by multiplying the highest exponent prime factors of 8770 and 8778. First we will calculate the prime factors of 8770 and 8778.

Prime Factorization of 8770


2 8770
5 4385
877 877
1

Prime factors of 8770 are 2, 5,877. Prime factorization of 8770 in exponential form is:

8770 = 21×51×8771

Prime Factorization of 8778


2 8778
3 4389
7 1463
11 209
19 19
1

Prime factors of 8778 are 2, 3, 7, 11,19. Prime factorization of 8778 in exponential form is:

8778 = 21×31×71×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8770 and 8778.

LCM(8770,8778) = 21×31×51×71×111×191×8771
LCM(8770,8778) = 38491530

Factors of 8770

List of positive integer factors of 8770 that divides 8770 without a remainder.

1, 2, 5, 10, 877, 1754, 4385, 8770

Factors of 8778

List of positive integer factors of 8778 that divides 8778 without a remainder.

1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778

Least Common Multiple of 8770 and 8778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8770 and 8778, than apply into the LCM equation.

GCF(8770,8778) = 2
LCM(8770,8778) = ( 8770 × 8778) / 2
LCM(8770,8778) = 76983060 / 2
LCM(8770,8778) = 38491530

Properties of LCM 8770 and 8778

(i) The LCM of 8778 and 8770 is associative

LCM of 8770 and 8778 = LCM of 8778 and 8770

Related Least Common Multiples of 8770

Related Least Common Multiples of 8778

Frequently Asked Questions on LCM of 8770 and 8778

1. What is the LCM of 8770 and 8778?

Answer: LCM of 8770 and 8778 is 38491530.

2. What are the Factors of 8770?

Answer: Factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770. There are 8 integers that are factors of 8770. The greatest factor of 8770 is 8770.

3. What are the Factors of 8778?

Answer: Factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778. There are 32 integers that are factors of 8778. The greatest factor of 8778 is 8778.

4. How to Find the LCM of 8770 and 8778?

Answer:

Least Common Multiple of 8770 and 8778 = 38491530

Step 1: Find the prime factorization of 8770

8770 = 2 x 5 x 877

Step 2: Find the prime factorization of 8778

8778 = 2 x 3 x 7 x 11 x 19

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

LCM = 38491530 = 2 x 3 x 5 x 7 x 11 x 19 x 877

Step 4: Therefore, the least common multiple of 8770 and 8778 is 38491530.