Least Common Multiple of 1902 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 1902 and 1903 the smallest integer that is 3619506 that is divisible by both numbers.

Least Common Multiple (LCM) of 1902 and 1903 is 3619506.

LCM(1902,1903) = 3619506

LCM of 1902 and 1903

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

LCM of:
and

Least Common Multiple of 1902 and 1903

LCM of 1902 and 1903 is 3619506

Least common multiple can be found by multiplying the highest exponent prime factors of 1902 and 1903. First we will calculate the prime factors of 1902 and 1903.

Prime Factorization of 1902


2 1902
3 951
317 317
1

Prime factors of 1902 are 2, 3,317. Prime factorization of 1902 in exponential form is:

1902 = 21×31×3171

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 1902 and 1903.

LCM(1902,1903) = 21×31×111×1731×3171
LCM(1902,1903) = 3619506

Factors of 1902

List of positive integer factors of 1902 that divides 1902 without a remainder.

1, 2, 3, 6, 317, 634, 951, 1902

Factors of 1903

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

1, 11, 173, 1903

Least Common Multiple of 1902 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 1902 and 1903, than apply into the LCM equation.

GCF(1902,1903) = 1
LCM(1902,1903) = ( 1902 × 1903) / 1
LCM(1902,1903) = 3619506 / 1
LCM(1902,1903) = 3619506

Properties of LCM 1902 and 1903

(i) The LCM of 1903 and 1902 is associative

LCM of 1902 and 1903 = LCM of 1903 and 1902

Related Least Common Multiples of 1902

Related Least Common Multiples of 1903

Frequently Asked Questions on LCM of 1902 and 1903

1. What is the LCM of 1902 and 1903?

Answer: LCM of 1902 and 1903 is 3619506.

2. What are the Factors of 1902?

Answer: Factors of 1902 are 1, 2, 3, 6, 317, 634, 951, 1902. There are 8 integers that are factors of 1902. The greatest factor of 1902 is 1902.

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 1902 and 1903?

Answer:

Least Common Multiple of 1902 and 1903 = 3619506

Step 1: Find the prime factorization of 1902

1902 = 2 x 3 x 317

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 = 3619506 = 2 x 3 x 11 x 173 x 317

Step 4: Therefore, the least common multiple of 1902 and 1903 is 3619506.