Least Common Multiple of 52896 and 52897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 52896 and 52897 the smallest integer that is 2798039712 that is divisible by both numbers.

Least Common Multiple (LCM) of 52896 and 52897 is 2798039712.

LCM(52896,52897) = 2798039712

LCM of 52896 and 52897

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

LCM of:
and

Least Common Multiple of 52896 and 52897

LCM of 52896 and 52897 is 2798039712

Least common multiple can be found by multiplying the highest exponent prime factors of 52896 and 52897. First we will calculate the prime factors of 52896 and 52897.

Prime Factorization of 52896


2 52896
2 26448
2 13224
2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 52896 are 2, 3, 19,29. Prime factorization of 52896 in exponential form is:

52896 = 25×31×191×291

Prime Factorization of 52897


13 52897
13 4069
313 313
1

Prime factors of 52897 are 13,313. Prime factorization of 52897 in exponential form is:

52897 = 132×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 52896 and 52897.

LCM(52896,52897) = 25×31×132×191×291×3131
LCM(52896,52897) = 2798039712

Factors of 52896

List of positive integer factors of 52896 that divides 52896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 32, 38, 48, 57, 58, 76, 87, 96, 114, 116, 152, 174, 228, 232, 304, 348, 456, 464, 551, 608, 696, 912, 928, 1102, 1392, 1653, 1824, 2204, 2784, 3306, 4408, 6612, 8816, 13224, 17632, 26448, 52896

Factors of 52897

List of positive integer factors of 52897 that divides 52897 without a remainder.

1, 13, 169, 313, 4069, 52897

Least Common Multiple of 52896 and 52897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52896 and 52897, than apply into the LCM equation.

GCF(52896,52897) = 1
LCM(52896,52897) = ( 52896 × 52897) / 1
LCM(52896,52897) = 2798039712 / 1
LCM(52896,52897) = 2798039712

Properties of LCM 52896 and 52897

(i) The LCM of 52897 and 52896 is associative

LCM of 52896 and 52897 = LCM of 52897 and 52896

Related Least Common Multiples of 52896

Related Least Common Multiples of 52897

Frequently Asked Questions on LCM of 52896 and 52897

1. What is the LCM of 52896 and 52897?

Answer: LCM of 52896 and 52897 is 2798039712.

2. What are the Factors of 52896?

Answer: Factors of 52896 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 32, 38, 48, 57, 58, 76, 87, 96, 114, 116, 152, 174, 228, 232, 304, 348, 456, 464, 551, 608, 696, 912, 928, 1102, 1392, 1653, 1824, 2204, 2784, 3306, 4408, 6612, 8816, 13224, 17632, 26448, 52896. There are 48 integers that are factors of 52896. The greatest factor of 52896 is 52896.

3. What are the Factors of 52897?

Answer: Factors of 52897 are 1, 13, 169, 313, 4069, 52897. There are 6 integers that are factors of 52897. The greatest factor of 52897 is 52897.

4. How to Find the LCM of 52896 and 52897?

Answer:

Least Common Multiple of 52896 and 52897 = 2798039712

Step 1: Find the prime factorization of 52896

52896 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 29

Step 2: Find the prime factorization of 52897

52897 = 13 x 13 x 313

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

LCM = 2798039712 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13 x 19 x 29 x 313

Step 4: Therefore, the least common multiple of 52896 and 52897 is 2798039712.