Least Common Multiple of 4777 and 4782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4777 and 4782 the smallest integer that is 22843614 that is divisible by both numbers.

Least Common Multiple (LCM) of 4777 and 4782 is 22843614.

LCM(4777,4782) = 22843614

LCM of 4777 and 4782

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

LCM of:
and

Least Common Multiple of 4777 and 4782

LCM of 4777 and 4782 is 22843614

Least common multiple can be found by multiplying the highest exponent prime factors of 4777 and 4782. First we will calculate the prime factors of 4777 and 4782.

Prime Factorization of 4777


17 4777
281 281
1

Prime factors of 4777 are 17,281. Prime factorization of 4777 in exponential form is:

4777 = 171×2811

Prime Factorization of 4782


2 4782
3 2391
797 797
1

Prime factors of 4782 are 2, 3,797. Prime factorization of 4782 in exponential form is:

4782 = 21×31×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 4777 and 4782.

LCM(4777,4782) = 21×31×171×2811×7971
LCM(4777,4782) = 22843614

Factors of 4777

List of positive integer factors of 4777 that divides 4777 without a remainder.

1, 17, 281, 4777

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1, 2, 3, 6, 797, 1594, 2391, 4782

Least Common Multiple of 4777 and 4782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4777 and 4782, than apply into the LCM equation.

GCF(4777,4782) = 1
LCM(4777,4782) = ( 4777 × 4782) / 1
LCM(4777,4782) = 22843614 / 1
LCM(4777,4782) = 22843614

Properties of LCM 4777 and 4782

(i) The LCM of 4782 and 4777 is associative

LCM of 4777 and 4782 = LCM of 4782 and 4777

Related Least Common Multiples of 4777

Related Least Common Multiples of 4782

Frequently Asked Questions on LCM of 4777 and 4782

1. What is the LCM of 4777 and 4782?

Answer: LCM of 4777 and 4782 is 22843614.

2. What are the Factors of 4777?

Answer: Factors of 4777 are 1, 17, 281, 4777. There are 4 integers that are factors of 4777. The greatest factor of 4777 is 4777.

3. What are the Factors of 4782?

Answer: Factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782. There are 8 integers that are factors of 4782. The greatest factor of 4782 is 4782.

4. How to Find the LCM of 4777 and 4782?

Answer:

Least Common Multiple of 4777 and 4782 = 22843614

Step 1: Find the prime factorization of 4777

4777 = 17 x 281

Step 2: Find the prime factorization of 4782

4782 = 2 x 3 x 797

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

LCM = 22843614 = 2 x 3 x 17 x 281 x 797

Step 4: Therefore, the least common multiple of 4777 and 4782 is 22843614.