Least Common Multiple of 52904 and 52908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 52904 and 52908 the smallest integer that is 699761208 that is divisible by both numbers.

Least Common Multiple (LCM) of 52904 and 52908 is 699761208.

LCM(52904,52908) = 699761208

LCM of 52904 and 52908

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

LCM of:
and

Least Common Multiple of 52904 and 52908

LCM of 52904 and 52908 is 699761208

Least common multiple can be found by multiplying the highest exponent prime factors of 52904 and 52908. First we will calculate the prime factors of 52904 and 52908.

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

Prime Factorization of 52908


2 52908
2 26454
3 13227
4409 4409
1

Prime factors of 52908 are 2, 3,4409. Prime factorization of 52908 in exponential form is:

52908 = 22×31×44091

Now multiplying the highest exponent prime factors to calculate the LCM of 52904 and 52908.

LCM(52904,52908) = 23×31×171×3891×44091
LCM(52904,52908) = 699761208

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

Factors of 52908

List of positive integer factors of 52908 that divides 52908 without a remainder.

1, 2, 3, 4, 6, 12, 4409, 8818, 13227, 17636, 26454, 52908

Least Common Multiple of 52904 and 52908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52904 and 52908, than apply into the LCM equation.

GCF(52904,52908) = 4
LCM(52904,52908) = ( 52904 × 52908) / 4
LCM(52904,52908) = 2799044832 / 4
LCM(52904,52908) = 699761208

Properties of LCM 52904 and 52908

(i) The LCM of 52908 and 52904 is associative

LCM of 52904 and 52908 = LCM of 52908 and 52904

Related Least Common Multiples of 52904

Related Least Common Multiples of 52908

Frequently Asked Questions on LCM of 52904 and 52908

1. What is the LCM of 52904 and 52908?

Answer: LCM of 52904 and 52908 is 699761208.

2. 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.

3. What are the Factors of 52908?

Answer: Factors of 52908 are 1, 2, 3, 4, 6, 12, 4409, 8818, 13227, 17636, 26454, 52908. There are 12 integers that are factors of 52908. The greatest factor of 52908 is 52908.

4. How to Find the LCM of 52904 and 52908?

Answer:

Least Common Multiple of 52904 and 52908 = 699761208

Step 1: Find the prime factorization of 52904

52904 = 2 x 2 x 2 x 17 x 389

Step 2: Find the prime factorization of 52908

52908 = 2 x 2 x 3 x 4409

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

LCM = 699761208 = 2 x 2 x 2 x 3 x 17 x 389 x 4409

Step 4: Therefore, the least common multiple of 52904 and 52908 is 699761208.