Least Common Multiple of 47769 and 47777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47769 and 47777 the smallest integer that is 2282259513 that is divisible by both numbers.

Least Common Multiple (LCM) of 47769 and 47777 is 2282259513.

LCM(47769,47777) = 2282259513

LCM of 47769 and 47777

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

LCM of:
and

Least Common Multiple of 47769 and 47777

LCM of 47769 and 47777 is 2282259513

Least common multiple can be found by multiplying the highest exponent prime factors of 47769 and 47777. First we will calculate the prime factors of 47769 and 47777.

Prime Factorization of 47769


3 47769
15923 15923
1

Prime factors of 47769 are 3,15923. Prime factorization of 47769 in exponential form is:

47769 = 31×159231

Prime Factorization of 47777


47777 47777
1

Prime factors of 47777 are 47777. Prime factorization of 47777 in exponential form is:

47777 = 477771

Now multiplying the highest exponent prime factors to calculate the LCM of 47769 and 47777.

LCM(47769,47777) = 31×159231×477771
LCM(47769,47777) = 2282259513

Factors of 47769

List of positive integer factors of 47769 that divides 47769 without a remainder.

1, 3, 15923, 47769

Factors of 47777

List of positive integer factors of 47777 that divides 47777 without a remainder.

1, 47777

Least Common Multiple of 47769 and 47777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47769 and 47777, than apply into the LCM equation.

GCF(47769,47777) = 1
LCM(47769,47777) = ( 47769 × 47777) / 1
LCM(47769,47777) = 2282259513 / 1
LCM(47769,47777) = 2282259513

Properties of LCM 47769 and 47777

(i) The LCM of 47777 and 47769 is associative

LCM of 47769 and 47777 = LCM of 47777 and 47769

Related Least Common Multiples of 47769

Related Least Common Multiples of 47777

Frequently Asked Questions on LCM of 47769 and 47777

1. What is the LCM of 47769 and 47777?

Answer: LCM of 47769 and 47777 is 2282259513.

2. What are the Factors of 47769?

Answer: Factors of 47769 are 1, 3, 15923, 47769. There are 4 integers that are factors of 47769. The greatest factor of 47769 is 47769.

3. What are the Factors of 47777?

Answer: Factors of 47777 are 1, 47777. There are 2 integers that are factors of 47777. The greatest factor of 47777 is 47777.

4. How to Find the LCM of 47769 and 47777?

Answer:

Least Common Multiple of 47769 and 47777 = 2282259513

Step 1: Find the prime factorization of 47769

47769 = 3 x 15923

Step 2: Find the prime factorization of 47777

47777 = 47777

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

LCM = 2282259513 = 3 x 15923 x 47777

Step 4: Therefore, the least common multiple of 47769 and 47777 is 2282259513.