Least Common Multiple of 1904 and 1910

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 1910 the smallest integer that is 1818320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1904 and 1910 is 1818320.

LCM(1904,1910) = 1818320

LCM of 1904 and 1910

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

LCM of:
and

Least Common Multiple of 1904 and 1910

LCM of 1904 and 1910 is 1818320

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1910. First we will calculate the prime factors of 1904 and 1910.

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 1910


2 1910
5 955
191 191
1

Prime factors of 1910 are 2, 5,191. Prime factorization of 1910 in exponential form is:

1910 = 21×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1910.

LCM(1904,1910) = 24×51×71×171×1911
LCM(1904,1910) = 1818320

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 1910

List of positive integer factors of 1910 that divides 1910 without a remainder.

1, 2, 5, 10, 191, 382, 955, 1910

Least Common Multiple of 1904 and 1910 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 1910, than apply into the LCM equation.

GCF(1904,1910) = 2
LCM(1904,1910) = ( 1904 × 1910) / 2
LCM(1904,1910) = 3636640 / 2
LCM(1904,1910) = 1818320

Properties of LCM 1904 and 1910

(i) The LCM of 1910 and 1904 is associative

LCM of 1904 and 1910 = LCM of 1910 and 1904

Related Least Common Multiples of 1904

Related Least Common Multiples of 1910

Frequently Asked Questions on LCM of 1904 and 1910

1. What is the LCM of 1904 and 1910?

Answer: LCM of 1904 and 1910 is 1818320.

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 1910?

Answer: Factors of 1910 are 1, 2, 5, 10, 191, 382, 955, 1910. There are 8 integers that are factors of 1910. The greatest factor of 1910 is 1910.

4. How to Find the LCM of 1904 and 1910?

Answer:

Least Common Multiple of 1904 and 1910 = 1818320

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 1910

1910 = 2 x 5 x 191

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

LCM = 1818320 = 2 x 2 x 2 x 2 x 5 x 7 x 17 x 191

Step 4: Therefore, the least common multiple of 1904 and 1910 is 1818320.