Least Common Multiple of 4780 and 4786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4780 and 4786 the smallest integer that is 11438540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4780 and 4786 is 11438540.

LCM(4780,4786) = 11438540

LCM of 4780 and 4786

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

LCM of:
and

Least Common Multiple of 4780 and 4786

LCM of 4780 and 4786 is 11438540

Least common multiple can be found by multiplying the highest exponent prime factors of 4780 and 4786. First we will calculate the prime factors of 4780 and 4786.

Prime Factorization of 4780


2 4780
2 2390
5 1195
239 239
1

Prime factors of 4780 are 2, 5,239. Prime factorization of 4780 in exponential form is:

4780 = 22×51×2391

Prime Factorization of 4786


2 4786
2393 2393
1

Prime factors of 4786 are 2,2393. Prime factorization of 4786 in exponential form is:

4786 = 21×23931

Now multiplying the highest exponent prime factors to calculate the LCM of 4780 and 4786.

LCM(4780,4786) = 22×51×2391×23931
LCM(4780,4786) = 11438540

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780

Factors of 4786

List of positive integer factors of 4786 that divides 4786 without a remainder.

1, 2, 2393, 4786

Least Common Multiple of 4780 and 4786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4780 and 4786, than apply into the LCM equation.

GCF(4780,4786) = 2
LCM(4780,4786) = ( 4780 × 4786) / 2
LCM(4780,4786) = 22877080 / 2
LCM(4780,4786) = 11438540

Properties of LCM 4780 and 4786

(i) The LCM of 4786 and 4780 is associative

LCM of 4780 and 4786 = LCM of 4786 and 4780

Related Least Common Multiples of 4780

Related Least Common Multiples of 4786

Frequently Asked Questions on LCM of 4780 and 4786

1. What is the LCM of 4780 and 4786?

Answer: LCM of 4780 and 4786 is 11438540.

2. What are the Factors of 4780?

Answer: Factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780. There are 12 integers that are factors of 4780. The greatest factor of 4780 is 4780.

3. What are the Factors of 4786?

Answer: Factors of 4786 are 1, 2, 2393, 4786. There are 4 integers that are factors of 4786. The greatest factor of 4786 is 4786.

4. How to Find the LCM of 4780 and 4786?

Answer:

Least Common Multiple of 4780 and 4786 = 11438540

Step 1: Find the prime factorization of 4780

4780 = 2 x 2 x 5 x 239

Step 2: Find the prime factorization of 4786

4786 = 2 x 2393

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

LCM = 11438540 = 2 x 2 x 5 x 239 x 2393

Step 4: Therefore, the least common multiple of 4780 and 4786 is 11438540.