Least Common Multiple of 52896 and 52904

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 52904 the smallest integer that is 349801248 that is divisible by both numbers.

Least Common Multiple (LCM) of 52896 and 52904 is 349801248.

LCM(52896,52904) = 349801248

LCM of 52896 and 52904

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

LCM of:
and

Least Common Multiple of 52896 and 52904

LCM of 52896 and 52904 is 349801248

Least common multiple can be found by multiplying the highest exponent prime factors of 52896 and 52904. First we will calculate the prime factors of 52896 and 52904.

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 52904


2 52904
2 26452
2 13226
17 6613
389 389
1

Prime factors of 52904 are 2, 17,389. Prime factorization of 52904 in exponential form is:

52904 = 23×171×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 52896 and 52904.

LCM(52896,52904) = 25×31×171×191×291×3891
LCM(52896,52904) = 349801248

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 52904

List of positive integer factors of 52904 that divides 52904 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 389, 778, 1556, 3112, 6613, 13226, 26452, 52904

Least Common Multiple of 52896 and 52904 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 52904, than apply into the LCM equation.

GCF(52896,52904) = 8
LCM(52896,52904) = ( 52896 × 52904) / 8
LCM(52896,52904) = 2798409984 / 8
LCM(52896,52904) = 349801248

Properties of LCM 52896 and 52904

(i) The LCM of 52904 and 52896 is associative

LCM of 52896 and 52904 = LCM of 52904 and 52896

Related Least Common Multiples of 52896

Related Least Common Multiples of 52904

Frequently Asked Questions on LCM of 52896 and 52904

1. What is the LCM of 52896 and 52904?

Answer: LCM of 52896 and 52904 is 349801248.

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 52904?

Answer: Factors of 52904 are 1, 2, 4, 8, 17, 34, 68, 136, 389, 778, 1556, 3112, 6613, 13226, 26452, 52904. There are 16 integers that are factors of 52904. The greatest factor of 52904 is 52904.

4. How to Find the LCM of 52896 and 52904?

Answer:

Least Common Multiple of 52896 and 52904 = 349801248

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 52904

52904 = 2 x 2 x 2 x 17 x 389

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

LCM = 349801248 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 x 29 x 389

Step 4: Therefore, the least common multiple of 52896 and 52904 is 349801248.