Least Common Multiple of 1904 and 1908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1904 and 1908 the smallest integer that is 908208 that is divisible by both numbers.

Least Common Multiple (LCM) of 1904 and 1908 is 908208.

LCM(1904,1908) = 908208

LCM of 1904 and 1908

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

LCM of:
and

Least Common Multiple of 1904 and 1908

LCM of 1904 and 1908 is 908208

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1908. First we will calculate the prime factors of 1904 and 1908.

Prime Factorization of 1904


2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 1904 are 2, 7,17. Prime factorization of 1904 in exponential form is:

1904 = 24×71×171

Prime Factorization of 1908


2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 1908 are 2, 3,53. Prime factorization of 1908 in exponential form is:

1908 = 22×32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1908.

LCM(1904,1908) = 24×32×71×171×531
LCM(1904,1908) = 908208

Factors of 1904

List of positive integer factors of 1904 that divides 1904 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904

Factors of 1908

List of positive integer factors of 1908 that divides 1908 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908

Least Common Multiple of 1904 and 1908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1904 and 1908, than apply into the LCM equation.

GCF(1904,1908) = 4
LCM(1904,1908) = ( 1904 × 1908) / 4
LCM(1904,1908) = 3632832 / 4
LCM(1904,1908) = 908208

Properties of LCM 1904 and 1908

(i) The LCM of 1908 and 1904 is associative

LCM of 1904 and 1908 = LCM of 1908 and 1904

Related Least Common Multiples of 1904

Related Least Common Multiples of 1908

Frequently Asked Questions on LCM of 1904 and 1908

1. What is the LCM of 1904 and 1908?

Answer: LCM of 1904 and 1908 is 908208.

2. What are the Factors of 1904?

Answer: Factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904. There are 20 integers that are factors of 1904. The greatest factor of 1904 is 1904.

3. What are the Factors of 1908?

Answer: Factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908. There are 18 integers that are factors of 1908. The greatest factor of 1908 is 1908.

4. How to Find the LCM of 1904 and 1908?

Answer:

Least Common Multiple of 1904 and 1908 = 908208

Step 1: Find the prime factorization of 1904

1904 = 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 1908

1908 = 2 x 2 x 3 x 3 x 53

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

LCM = 908208 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 53

Step 4: Therefore, the least common multiple of 1904 and 1908 is 908208.