Least Common Multiple of 5904 and 5905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5904 and 5905 the smallest integer that is 34863120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5904 and 5905 is 34863120.

LCM(5904,5905) = 34863120

LCM of 5904 and 5905

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

LCM of:
and

Least Common Multiple of 5904 and 5905

LCM of 5904 and 5905 is 34863120

Least common multiple can be found by multiplying the highest exponent prime factors of 5904 and 5905. First we will calculate the prime factors of 5904 and 5905.

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

Prime Factorization of 5905


5 5905
1181 1181
1

Prime factors of 5905 are 5,1181. Prime factorization of 5905 in exponential form is:

5905 = 51×11811

Now multiplying the highest exponent prime factors to calculate the LCM of 5904 and 5905.

LCM(5904,5905) = 24×32×51×411×11811
LCM(5904,5905) = 34863120

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

Factors of 5905

List of positive integer factors of 5905 that divides 5905 without a remainder.

1, 5, 1181, 5905

Least Common Multiple of 5904 and 5905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5904 and 5905, than apply into the LCM equation.

GCF(5904,5905) = 1
LCM(5904,5905) = ( 5904 × 5905) / 1
LCM(5904,5905) = 34863120 / 1
LCM(5904,5905) = 34863120

Properties of LCM 5904 and 5905

(i) The LCM of 5905 and 5904 is associative

LCM of 5904 and 5905 = LCM of 5905 and 5904

Related Least Common Multiples of 5904

Related Least Common Multiples of 5905

Frequently Asked Questions on LCM of 5904 and 5905

1. What is the LCM of 5904 and 5905?

Answer: LCM of 5904 and 5905 is 34863120.

2. 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.

3. What are the Factors of 5905?

Answer: Factors of 5905 are 1, 5, 1181, 5905. There are 4 integers that are factors of 5905. The greatest factor of 5905 is 5905.

4. How to Find the LCM of 5904 and 5905?

Answer:

Least Common Multiple of 5904 and 5905 = 34863120

Step 1: Find the prime factorization of 5904

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

Step 2: Find the prime factorization of 5905

5905 = 5 x 1181

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

LCM = 34863120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 41 x 1181

Step 4: Therefore, the least common multiple of 5904 and 5905 is 34863120.