Least Common Multiple of 52896 and 52902

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 52902 the smallest integer that is 466384032 that is divisible by both numbers.

Least Common Multiple (LCM) of 52896 and 52902 is 466384032.

LCM(52896,52902) = 466384032

LCM of 52896 and 52902

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

LCM of:
and

Least Common Multiple of 52896 and 52902

LCM of 52896 and 52902 is 466384032

Least common multiple can be found by multiplying the highest exponent prime factors of 52896 and 52902. First we will calculate the prime factors of 52896 and 52902.

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 52902


2 52902
3 26451
3 8817
2939 2939
1

Prime factors of 52902 are 2, 3,2939. Prime factorization of 52902 in exponential form is:

52902 = 21×32×29391

Now multiplying the highest exponent prime factors to calculate the LCM of 52896 and 52902.

LCM(52896,52902) = 25×32×191×291×29391
LCM(52896,52902) = 466384032

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 52902

List of positive integer factors of 52902 that divides 52902 without a remainder.

1, 2, 3, 6, 9, 18, 2939, 5878, 8817, 17634, 26451, 52902

Least Common Multiple of 52896 and 52902 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 52902, than apply into the LCM equation.

GCF(52896,52902) = 6
LCM(52896,52902) = ( 52896 × 52902) / 6
LCM(52896,52902) = 2798304192 / 6
LCM(52896,52902) = 466384032

Properties of LCM 52896 and 52902

(i) The LCM of 52902 and 52896 is associative

LCM of 52896 and 52902 = LCM of 52902 and 52896

Related Least Common Multiples of 52896

Related Least Common Multiples of 52902

Frequently Asked Questions on LCM of 52896 and 52902

1. What is the LCM of 52896 and 52902?

Answer: LCM of 52896 and 52902 is 466384032.

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 52902?

Answer: Factors of 52902 are 1, 2, 3, 6, 9, 18, 2939, 5878, 8817, 17634, 26451, 52902. There are 12 integers that are factors of 52902. The greatest factor of 52902 is 52902.

4. How to Find the LCM of 52896 and 52902?

Answer:

Least Common Multiple of 52896 and 52902 = 466384032

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 52902

52902 = 2 x 3 x 3 x 2939

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

LCM = 466384032 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 29 x 2939

Step 4: Therefore, the least common multiple of 52896 and 52902 is 466384032.