Least Common Multiple of 1900 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 1900 and 1906 the smallest integer that is 1810700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1900 and 1906 is 1810700.

LCM(1900,1906) = 1810700

LCM of 1900 and 1906

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

LCM of:
and

Least Common Multiple of 1900 and 1906

LCM of 1900 and 1906 is 1810700

Least common multiple can be found by multiplying the highest exponent prime factors of 1900 and 1906. First we will calculate the prime factors of 1900 and 1906.

Prime Factorization of 1900


2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 1900 are 2, 5,19. Prime factorization of 1900 in exponential form is:

1900 = 22×52×191

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 1900 and 1906.

LCM(1900,1906) = 22×52×191×9531
LCM(1900,1906) = 1810700

Factors of 1900

List of positive integer factors of 1900 that divides 1900 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900

Factors of 1906

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

1, 2, 953, 1906

Least Common Multiple of 1900 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 1900 and 1906, than apply into the LCM equation.

GCF(1900,1906) = 2
LCM(1900,1906) = ( 1900 × 1906) / 2
LCM(1900,1906) = 3621400 / 2
LCM(1900,1906) = 1810700

Properties of LCM 1900 and 1906

(i) The LCM of 1906 and 1900 is associative

LCM of 1900 and 1906 = LCM of 1906 and 1900

Related Least Common Multiples of 1900

Related Least Common Multiples of 1906

Frequently Asked Questions on LCM of 1900 and 1906

1. What is the LCM of 1900 and 1906?

Answer: LCM of 1900 and 1906 is 1810700.

2. What are the Factors of 1900?

Answer: Factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900. There are 18 integers that are factors of 1900. The greatest factor of 1900 is 1900.

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 1900 and 1906?

Answer:

Least Common Multiple of 1900 and 1906 = 1810700

Step 1: Find the prime factorization of 1900

1900 = 2 x 2 x 5 x 5 x 19

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 = 1810700 = 2 x 2 x 5 x 5 x 19 x 953

Step 4: Therefore, the least common multiple of 1900 and 1906 is 1810700.