Least Common Multiple of 1892 and 1898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1892 and 1898 the smallest integer that is 1795508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1892 and 1898 is 1795508.

LCM(1892,1898) = 1795508

LCM of 1892 and 1898

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

LCM of:
and

Least Common Multiple of 1892 and 1898

LCM of 1892 and 1898 is 1795508

Least common multiple can be found by multiplying the highest exponent prime factors of 1892 and 1898. First we will calculate the prime factors of 1892 and 1898.

Prime Factorization of 1892


2 1892
2 946
11 473
43 43
1

Prime factors of 1892 are 2, 11,43. Prime factorization of 1892 in exponential form is:

1892 = 22×111×431

Prime Factorization of 1898


2 1898
13 949
73 73
1

Prime factors of 1898 are 2, 13,73. Prime factorization of 1898 in exponential form is:

1898 = 21×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1892 and 1898.

LCM(1892,1898) = 22×111×131×431×731
LCM(1892,1898) = 1795508

Factors of 1892

List of positive integer factors of 1892 that divides 1892 without a remainder.

1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1892

Factors of 1898

List of positive integer factors of 1898 that divides 1898 without a remainder.

1, 2, 13, 26, 73, 146, 949, 1898

Least Common Multiple of 1892 and 1898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1892 and 1898, than apply into the LCM equation.

GCF(1892,1898) = 2
LCM(1892,1898) = ( 1892 × 1898) / 2
LCM(1892,1898) = 3591016 / 2
LCM(1892,1898) = 1795508

Properties of LCM 1892 and 1898

(i) The LCM of 1898 and 1892 is associative

LCM of 1892 and 1898 = LCM of 1898 and 1892

Related Least Common Multiples of 1892

Related Least Common Multiples of 1898

Frequently Asked Questions on LCM of 1892 and 1898

1. What is the LCM of 1892 and 1898?

Answer: LCM of 1892 and 1898 is 1795508.

2. What are the Factors of 1892?

Answer: Factors of 1892 are 1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1892. There are 12 integers that are factors of 1892. The greatest factor of 1892 is 1892.

3. What are the Factors of 1898?

Answer: Factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898. There are 8 integers that are factors of 1898. The greatest factor of 1898 is 1898.

4. How to Find the LCM of 1892 and 1898?

Answer:

Least Common Multiple of 1892 and 1898 = 1795508

Step 1: Find the prime factorization of 1892

1892 = 2 x 2 x 11 x 43

Step 2: Find the prime factorization of 1898

1898 = 2 x 13 x 73

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

LCM = 1795508 = 2 x 2 x 11 x 13 x 43 x 73

Step 4: Therefore, the least common multiple of 1892 and 1898 is 1795508.