Least Common Multiple of 5770 and 5778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5770 and 5778 the smallest integer that is 16669530 that is divisible by both numbers.

Least Common Multiple (LCM) of 5770 and 5778 is 16669530.

LCM(5770,5778) = 16669530

LCM of 5770 and 5778

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

LCM of:
and

Least Common Multiple of 5770 and 5778

LCM of 5770 and 5778 is 16669530

Least common multiple can be found by multiplying the highest exponent prime factors of 5770 and 5778. First we will calculate the prime factors of 5770 and 5778.

Prime Factorization of 5770


2 5770
5 2885
577 577
1

Prime factors of 5770 are 2, 5,577. Prime factorization of 5770 in exponential form is:

5770 = 21×51×5771

Prime Factorization of 5778


2 5778
3 2889
3 963
3 321
107 107
1

Prime factors of 5778 are 2, 3,107. Prime factorization of 5778 in exponential form is:

5778 = 21×33×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5770 and 5778.

LCM(5770,5778) = 21×33×51×1071×5771
LCM(5770,5778) = 16669530

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1, 2, 5, 10, 577, 1154, 2885, 5770

Factors of 5778

List of positive integer factors of 5778 that divides 5778 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778

Least Common Multiple of 5770 and 5778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5770 and 5778, than apply into the LCM equation.

GCF(5770,5778) = 2
LCM(5770,5778) = ( 5770 × 5778) / 2
LCM(5770,5778) = 33339060 / 2
LCM(5770,5778) = 16669530

Properties of LCM 5770 and 5778

(i) The LCM of 5778 and 5770 is associative

LCM of 5770 and 5778 = LCM of 5778 and 5770

Related Least Common Multiples of 5770

Related Least Common Multiples of 5778

Frequently Asked Questions on LCM of 5770 and 5778

1. What is the LCM of 5770 and 5778?

Answer: LCM of 5770 and 5778 is 16669530.

2. What are the Factors of 5770?

Answer: Factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770. There are 8 integers that are factors of 5770. The greatest factor of 5770 is 5770.

3. What are the Factors of 5778?

Answer: Factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778. There are 16 integers that are factors of 5778. The greatest factor of 5778 is 5778.

4. How to Find the LCM of 5770 and 5778?

Answer:

Least Common Multiple of 5770 and 5778 = 16669530

Step 1: Find the prime factorization of 5770

5770 = 2 x 5 x 577

Step 2: Find the prime factorization of 5778

5778 = 2 x 3 x 3 x 3 x 107

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

LCM = 16669530 = 2 x 3 x 3 x 3 x 5 x 107 x 577

Step 4: Therefore, the least common multiple of 5770 and 5778 is 16669530.