Least Common Multiple of 1896 and 1903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1896 and 1903 the smallest integer that is 3608088 that is divisible by both numbers.

Least Common Multiple (LCM) of 1896 and 1903 is 3608088.

LCM(1896,1903) = 3608088

LCM of 1896 and 1903

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

LCM of:
and

Least Common Multiple of 1896 and 1903

LCM of 1896 and 1903 is 3608088

Least common multiple can be found by multiplying the highest exponent prime factors of 1896 and 1903. First we will calculate the prime factors of 1896 and 1903.

Prime Factorization of 1896


2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 1896 are 2, 3,79. Prime factorization of 1896 in exponential form is:

1896 = 23×31×791

Prime Factorization of 1903


11 1903
173 173
1

Prime factors of 1903 are 11,173. Prime factorization of 1903 in exponential form is:

1903 = 111×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1896 and 1903.

LCM(1896,1903) = 23×31×111×791×1731
LCM(1896,1903) = 3608088

Factors of 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896

Factors of 1903

List of positive integer factors of 1903 that divides 1903 without a remainder.

1, 11, 173, 1903

Least Common Multiple of 1896 and 1903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1896 and 1903, than apply into the LCM equation.

GCF(1896,1903) = 1
LCM(1896,1903) = ( 1896 × 1903) / 1
LCM(1896,1903) = 3608088 / 1
LCM(1896,1903) = 3608088

Properties of LCM 1896 and 1903

(i) The LCM of 1903 and 1896 is associative

LCM of 1896 and 1903 = LCM of 1903 and 1896

Related Least Common Multiples of 1896

Related Least Common Multiples of 1903

Frequently Asked Questions on LCM of 1896 and 1903

1. What is the LCM of 1896 and 1903?

Answer: LCM of 1896 and 1903 is 3608088.

2. What are the Factors of 1896?

Answer: Factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896. There are 16 integers that are factors of 1896. The greatest factor of 1896 is 1896.

3. What are the Factors of 1903?

Answer: Factors of 1903 are 1, 11, 173, 1903. There are 4 integers that are factors of 1903. The greatest factor of 1903 is 1903.

4. How to Find the LCM of 1896 and 1903?

Answer:

Least Common Multiple of 1896 and 1903 = 3608088

Step 1: Find the prime factorization of 1896

1896 = 2 x 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 1903

1903 = 11 x 173

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

LCM = 3608088 = 2 x 2 x 2 x 3 x 11 x 79 x 173

Step 4: Therefore, the least common multiple of 1896 and 1903 is 3608088.