Least Common Multiple of 5775 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 5775 and 5778 the smallest integer that is 11122650 that is divisible by both numbers.

Least Common Multiple (LCM) of 5775 and 5778 is 11122650.

LCM(5775,5778) = 11122650

LCM of 5775 and 5778

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

LCM of:
and

Least Common Multiple of 5775 and 5778

LCM of 5775 and 5778 is 11122650

Least common multiple can be found by multiplying the highest exponent prime factors of 5775 and 5778. First we will calculate the prime factors of 5775 and 5778.

Prime Factorization of 5775


3 5775
5 1925
5 385
7 77
11 11
1

Prime factors of 5775 are 3, 5, 7,11. Prime factorization of 5775 in exponential form is:

5775 = 31×52×71×111

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 5775 and 5778.

LCM(5775,5778) = 21×33×52×71×111×1071
LCM(5775,5778) = 11122650

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775

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 5775 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 5775 and 5778, than apply into the LCM equation.

GCF(5775,5778) = 3
LCM(5775,5778) = ( 5775 × 5778) / 3
LCM(5775,5778) = 33367950 / 3
LCM(5775,5778) = 11122650

Properties of LCM 5775 and 5778

(i) The LCM of 5778 and 5775 is associative

LCM of 5775 and 5778 = LCM of 5778 and 5775

Related Least Common Multiples of 5775

Related Least Common Multiples of 5778

Frequently Asked Questions on LCM of 5775 and 5778

1. What is the LCM of 5775 and 5778?

Answer: LCM of 5775 and 5778 is 11122650.

2. What are the Factors of 5775?

Answer: Factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775. There are 24 integers that are factors of 5775. The greatest factor of 5775 is 5775.

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 5775 and 5778?

Answer:

Least Common Multiple of 5775 and 5778 = 11122650

Step 1: Find the prime factorization of 5775

5775 = 3 x 5 x 5 x 7 x 11

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 = 11122650 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 5775 and 5778 is 11122650.