Least Common Multiple of 1899 and 1906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1899 and 1906 the smallest integer that is 3619494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1899 and 1906 is 3619494.

LCM(1899,1906) = 3619494

LCM of 1899 and 1906

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

LCM of:
and

Least Common Multiple of 1899 and 1906

LCM of 1899 and 1906 is 3619494

Least common multiple can be found by multiplying the highest exponent prime factors of 1899 and 1906. First we will calculate the prime factors of 1899 and 1906.

Prime Factorization of 1899


3 1899
3 633
211 211
1

Prime factors of 1899 are 3,211. Prime factorization of 1899 in exponential form is:

1899 = 32×2111

Prime Factorization of 1906


2 1906
953 953
1

Prime factors of 1906 are 2,953. Prime factorization of 1906 in exponential form is:

1906 = 21×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 1899 and 1906.

LCM(1899,1906) = 21×32×2111×9531
LCM(1899,1906) = 3619494

Factors of 1899

List of positive integer factors of 1899 that divides 1899 without a remainder.

1, 3, 9, 211, 633, 1899

Factors of 1906

List of positive integer factors of 1906 that divides 1906 without a remainder.

1, 2, 953, 1906

Least Common Multiple of 1899 and 1906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1899 and 1906, than apply into the LCM equation.

GCF(1899,1906) = 1
LCM(1899,1906) = ( 1899 × 1906) / 1
LCM(1899,1906) = 3619494 / 1
LCM(1899,1906) = 3619494

Properties of LCM 1899 and 1906

(i) The LCM of 1906 and 1899 is associative

LCM of 1899 and 1906 = LCM of 1906 and 1899

Related Least Common Multiples of 1899

Related Least Common Multiples of 1906

Frequently Asked Questions on LCM of 1899 and 1906

1. What is the LCM of 1899 and 1906?

Answer: LCM of 1899 and 1906 is 3619494.

2. What are the Factors of 1899?

Answer: Factors of 1899 are 1, 3, 9, 211, 633, 1899. There are 6 integers that are factors of 1899. The greatest factor of 1899 is 1899.

3. What are the Factors of 1906?

Answer: Factors of 1906 are 1, 2, 953, 1906. There are 4 integers that are factors of 1906. The greatest factor of 1906 is 1906.

4. How to Find the LCM of 1899 and 1906?

Answer:

Least Common Multiple of 1899 and 1906 = 3619494

Step 1: Find the prime factorization of 1899

1899 = 3 x 3 x 211

Step 2: Find the prime factorization of 1906

1906 = 2 x 953

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

LCM = 3619494 = 2 x 3 x 3 x 211 x 953

Step 4: Therefore, the least common multiple of 1899 and 1906 is 3619494.