Least Common Multiple of 1892 and 1896

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 1896 the smallest integer that is 896808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1892 and 1896 is 896808.

LCM(1892,1896) = 896808

LCM of 1892 and 1896

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

LCM of:
and

Least Common Multiple of 1892 and 1896

LCM of 1892 and 1896 is 896808

Least common multiple can be found by multiplying the highest exponent prime factors of 1892 and 1896. First we will calculate the prime factors of 1892 and 1896.

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 1896


2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 1896 are 2, 3,79. Prime factorization of 1896 in exponential form is:

1896 = 23×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1892 and 1896.

LCM(1892,1896) = 23×31×111×431×791
LCM(1892,1896) = 896808

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 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896

Least Common Multiple of 1892 and 1896 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 1896, than apply into the LCM equation.

GCF(1892,1896) = 4
LCM(1892,1896) = ( 1892 × 1896) / 4
LCM(1892,1896) = 3587232 / 4
LCM(1892,1896) = 896808

Properties of LCM 1892 and 1896

(i) The LCM of 1896 and 1892 is associative

LCM of 1892 and 1896 = LCM of 1896 and 1892

Related Least Common Multiples of 1892

Related Least Common Multiples of 1896

Frequently Asked Questions on LCM of 1892 and 1896

1. What is the LCM of 1892 and 1896?

Answer: LCM of 1892 and 1896 is 896808.

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 1896?

Answer: Factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896. There are 16 integers that are factors of 1896. The greatest factor of 1896 is 1896.

4. How to Find the LCM of 1892 and 1896?

Answer:

Least Common Multiple of 1892 and 1896 = 896808

Step 1: Find the prime factorization of 1892

1892 = 2 x 2 x 11 x 43

Step 2: Find the prime factorization of 1896

1896 = 2 x 2 x 2 x 3 x 79

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

LCM = 896808 = 2 x 2 x 2 x 3 x 11 x 43 x 79

Step 4: Therefore, the least common multiple of 1892 and 1896 is 896808.