Least Common Multiple of 47769 and 47775

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 47775 the smallest integer that is 760721325 that is divisible by both numbers.

Least Common Multiple (LCM) of 47769 and 47775 is 760721325.

LCM(47769,47775) = 760721325

LCM of 47769 and 47775

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

LCM of:
and

Least Common Multiple of 47769 and 47775

LCM of 47769 and 47775 is 760721325

Least common multiple can be found by multiplying the highest exponent prime factors of 47769 and 47775. First we will calculate the prime factors of 47769 and 47775.

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 47775


3 47775
5 15925
5 3185
7 637
7 91
13 13
1

Prime factors of 47775 are 3, 5, 7,13. Prime factorization of 47775 in exponential form is:

47775 = 31×52×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 47769 and 47775.

LCM(47769,47775) = 31×52×72×131×159231
LCM(47769,47775) = 760721325

Factors of 47769

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

1, 3, 15923, 47769

Factors of 47775

List of positive integer factors of 47775 that divides 47775 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 49, 65, 75, 91, 105, 147, 175, 195, 245, 273, 325, 455, 525, 637, 735, 975, 1225, 1365, 1911, 2275, 3185, 3675, 6825, 9555, 15925, 47775

Least Common Multiple of 47769 and 47775 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 47775, than apply into the LCM equation.

GCF(47769,47775) = 3
LCM(47769,47775) = ( 47769 × 47775) / 3
LCM(47769,47775) = 2282163975 / 3
LCM(47769,47775) = 760721325

Properties of LCM 47769 and 47775

(i) The LCM of 47775 and 47769 is associative

LCM of 47769 and 47775 = LCM of 47775 and 47769

Related Least Common Multiples of 47769

Related Least Common Multiples of 47775

Frequently Asked Questions on LCM of 47769 and 47775

1. What is the LCM of 47769 and 47775?

Answer: LCM of 47769 and 47775 is 760721325.

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 47775?

Answer: Factors of 47775 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 49, 65, 75, 91, 105, 147, 175, 195, 245, 273, 325, 455, 525, 637, 735, 975, 1225, 1365, 1911, 2275, 3185, 3675, 6825, 9555, 15925, 47775. There are 36 integers that are factors of 47775. The greatest factor of 47775 is 47775.

4. How to Find the LCM of 47769 and 47775?

Answer:

Least Common Multiple of 47769 and 47775 = 760721325

Step 1: Find the prime factorization of 47769

47769 = 3 x 15923

Step 2: Find the prime factorization of 47775

47775 = 3 x 5 x 5 x 7 x 7 x 13

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

LCM = 760721325 = 3 x 5 x 5 x 7 x 7 x 13 x 15923

Step 4: Therefore, the least common multiple of 47769 and 47775 is 760721325.