Least Common Multiple of 4777 and 4781

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 4781 the smallest integer that is 22838837 that is divisible by both numbers.

Least Common Multiple (LCM) of 4777 and 4781 is 22838837.

LCM(4777,4781) = 22838837

LCM of 4777 and 4781

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

LCM of:
and

Least Common Multiple of 4777 and 4781

LCM of 4777 and 4781 is 22838837

Least common multiple can be found by multiplying the highest exponent prime factors of 4777 and 4781. First we will calculate the prime factors of 4777 and 4781.

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 4781


7 4781
683 683
1

Prime factors of 4781 are 7,683. Prime factorization of 4781 in exponential form is:

4781 = 71×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 4777 and 4781.

LCM(4777,4781) = 71×171×2811×6831
LCM(4777,4781) = 22838837

Factors of 4777

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

1, 17, 281, 4777

Factors of 4781

List of positive integer factors of 4781 that divides 4781 without a remainder.

1, 7, 683, 4781

Least Common Multiple of 4777 and 4781 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 4781, than apply into the LCM equation.

GCF(4777,4781) = 1
LCM(4777,4781) = ( 4777 × 4781) / 1
LCM(4777,4781) = 22838837 / 1
LCM(4777,4781) = 22838837

Properties of LCM 4777 and 4781

(i) The LCM of 4781 and 4777 is associative

LCM of 4777 and 4781 = LCM of 4781 and 4777

Related Least Common Multiples of 4777

Related Least Common Multiples of 4781

Frequently Asked Questions on LCM of 4777 and 4781

1. What is the LCM of 4777 and 4781?

Answer: LCM of 4777 and 4781 is 22838837.

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 4781?

Answer: Factors of 4781 are 1, 7, 683, 4781. There are 4 integers that are factors of 4781. The greatest factor of 4781 is 4781.

4. How to Find the LCM of 4777 and 4781?

Answer:

Least Common Multiple of 4777 and 4781 = 22838837

Step 1: Find the prime factorization of 4777

4777 = 17 x 281

Step 2: Find the prime factorization of 4781

4781 = 7 x 683

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

LCM = 22838837 = 7 x 17 x 281 x 683

Step 4: Therefore, the least common multiple of 4777 and 4781 is 22838837.