Least Common Multiple of 1894 and 1900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1894 and 1900 the smallest integer that is 1799300 that is divisible by both numbers.

Least Common Multiple (LCM) of 1894 and 1900 is 1799300.

LCM(1894,1900) = 1799300

LCM of 1894 and 1900

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

LCM of:
and

Least Common Multiple of 1894 and 1900

LCM of 1894 and 1900 is 1799300

Least common multiple can be found by multiplying the highest exponent prime factors of 1894 and 1900. First we will calculate the prime factors of 1894 and 1900.

Prime Factorization of 1894


2 1894
947 947
1

Prime factors of 1894 are 2,947. Prime factorization of 1894 in exponential form is:

1894 = 21×9471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1894 and 1900.

LCM(1894,1900) = 22×52×191×9471
LCM(1894,1900) = 1799300

Factors of 1894

List of positive integer factors of 1894 that divides 1894 without a remainder.

1, 2, 947, 1894

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

Least Common Multiple of 1894 and 1900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1894 and 1900, than apply into the LCM equation.

GCF(1894,1900) = 2
LCM(1894,1900) = ( 1894 × 1900) / 2
LCM(1894,1900) = 3598600 / 2
LCM(1894,1900) = 1799300

Properties of LCM 1894 and 1900

(i) The LCM of 1900 and 1894 is associative

LCM of 1894 and 1900 = LCM of 1900 and 1894

Related Least Common Multiples of 1894

Related Least Common Multiples of 1900

Frequently Asked Questions on LCM of 1894 and 1900

1. What is the LCM of 1894 and 1900?

Answer: LCM of 1894 and 1900 is 1799300.

2. What are the Factors of 1894?

Answer: Factors of 1894 are 1, 2, 947, 1894. There are 4 integers that are factors of 1894. The greatest factor of 1894 is 1894.

3. 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.

4. How to Find the LCM of 1894 and 1900?

Answer:

Least Common Multiple of 1894 and 1900 = 1799300

Step 1: Find the prime factorization of 1894

1894 = 2 x 947

Step 2: Find the prime factorization of 1900

1900 = 2 x 2 x 5 x 5 x 19

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

LCM = 1799300 = 2 x 2 x 5 x 5 x 19 x 947

Step 4: Therefore, the least common multiple of 1894 and 1900 is 1799300.