Least Common Multiple of 5897 and 5904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5897 and 5904 the smallest integer that is 34815888 that is divisible by both numbers.

Least Common Multiple (LCM) of 5897 and 5904 is 34815888.

LCM(5897,5904) = 34815888

LCM of 5897 and 5904

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

LCM of:
and

Least Common Multiple of 5897 and 5904

LCM of 5897 and 5904 is 34815888

Least common multiple can be found by multiplying the highest exponent prime factors of 5897 and 5904. First we will calculate the prime factors of 5897 and 5904.

Prime Factorization of 5897


5897 5897
1

Prime factors of 5897 are 5897. Prime factorization of 5897 in exponential form is:

5897 = 58971

Prime Factorization of 5904


2 5904
2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 5904 are 2, 3,41. Prime factorization of 5904 in exponential form is:

5904 = 24×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5897 and 5904.

LCM(5897,5904) = 24×32×411×58971
LCM(5897,5904) = 34815888

Factors of 5897

List of positive integer factors of 5897 that divides 5897 without a remainder.

1, 5897

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904

Least Common Multiple of 5897 and 5904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5897 and 5904, than apply into the LCM equation.

GCF(5897,5904) = 1
LCM(5897,5904) = ( 5897 × 5904) / 1
LCM(5897,5904) = 34815888 / 1
LCM(5897,5904) = 34815888

Properties of LCM 5897 and 5904

(i) The LCM of 5904 and 5897 is associative

LCM of 5897 and 5904 = LCM of 5904 and 5897

Related Least Common Multiples of 5897

Related Least Common Multiples of 5904

Frequently Asked Questions on LCM of 5897 and 5904

1. What is the LCM of 5897 and 5904?

Answer: LCM of 5897 and 5904 is 34815888.

2. What are the Factors of 5897?

Answer: Factors of 5897 are 1, 5897. There are 2 integers that are factors of 5897. The greatest factor of 5897 is 5897.

3. What are the Factors of 5904?

Answer: Factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904. There are 30 integers that are factors of 5904. The greatest factor of 5904 is 5904.

4. How to Find the LCM of 5897 and 5904?

Answer:

Least Common Multiple of 5897 and 5904 = 34815888

Step 1: Find the prime factorization of 5897

5897 = 5897

Step 2: Find the prime factorization of 5904

5904 = 2 x 2 x 2 x 2 x 3 x 3 x 41

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

LCM = 34815888 = 2 x 2 x 2 x 2 x 3 x 3 x 41 x 5897

Step 4: Therefore, the least common multiple of 5897 and 5904 is 34815888.