Least Common Multiple of 52902 and 52910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 52902 and 52910 the smallest integer that is 1399522410 that is divisible by both numbers.

Least Common Multiple (LCM) of 52902 and 52910 is 1399522410.

LCM(52902,52910) = 1399522410

LCM of 52902 and 52910

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

LCM of:
and

Least Common Multiple of 52902 and 52910

LCM of 52902 and 52910 is 1399522410

Least common multiple can be found by multiplying the highest exponent prime factors of 52902 and 52910. First we will calculate the prime factors of 52902 and 52910.

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

Prime Factorization of 52910


2 52910
5 26455
11 5291
13 481
37 37
1

Prime factors of 52910 are 2, 5, 11, 13,37. Prime factorization of 52910 in exponential form is:

52910 = 21×51×111×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 52902 and 52910.

LCM(52902,52910) = 21×32×51×111×131×371×29391
LCM(52902,52910) = 1399522410

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

Factors of 52910

List of positive integer factors of 52910 that divides 52910 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 37, 55, 65, 74, 110, 130, 143, 185, 286, 370, 407, 481, 715, 814, 962, 1430, 2035, 2405, 4070, 4810, 5291, 10582, 26455, 52910

Least Common Multiple of 52902 and 52910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52902 and 52910, than apply into the LCM equation.

GCF(52902,52910) = 2
LCM(52902,52910) = ( 52902 × 52910) / 2
LCM(52902,52910) = 2799044820 / 2
LCM(52902,52910) = 1399522410

Properties of LCM 52902 and 52910

(i) The LCM of 52910 and 52902 is associative

LCM of 52902 and 52910 = LCM of 52910 and 52902

Related Least Common Multiples of 52902

Related Least Common Multiples of 52910

Frequently Asked Questions on LCM of 52902 and 52910

1. What is the LCM of 52902 and 52910?

Answer: LCM of 52902 and 52910 is 1399522410.

2. 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.

3. What are the Factors of 52910?

Answer: Factors of 52910 are 1, 2, 5, 10, 11, 13, 22, 26, 37, 55, 65, 74, 110, 130, 143, 185, 286, 370, 407, 481, 715, 814, 962, 1430, 2035, 2405, 4070, 4810, 5291, 10582, 26455, 52910. There are 32 integers that are factors of 52910. The greatest factor of 52910 is 52910.

4. How to Find the LCM of 52902 and 52910?

Answer:

Least Common Multiple of 52902 and 52910 = 1399522410

Step 1: Find the prime factorization of 52902

52902 = 2 x 3 x 3 x 2939

Step 2: Find the prime factorization of 52910

52910 = 2 x 5 x 11 x 13 x 37

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

LCM = 1399522410 = 2 x 3 x 3 x 5 x 11 x 13 x 37 x 2939

Step 4: Therefore, the least common multiple of 52902 and 52910 is 1399522410.