Least Common Multiple of 892 and 896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 892 and 896 the smallest integer that is 199808 that is divisible by both numbers.

Least Common Multiple (LCM) of 892 and 896 is 199808.

LCM(892,896) = 199808

LCM of 892 and 896

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

LCM of:
and

Least Common Multiple of 892 and 896

LCM of 892 and 896 is 199808

Least common multiple can be found by multiplying the highest exponent prime factors of 892 and 896. First we will calculate the prime factors of 892 and 896.

Prime Factorization of 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

Prime Factorization of 896


2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 896 are 2,7. Prime factorization of 896 in exponential form is:

896 = 27×71

Now multiplying the highest exponent prime factors to calculate the LCM of 892 and 896.

LCM(892,896) = 27×71×2231
LCM(892,896) = 199808

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Least Common Multiple of 892 and 896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 892 and 896, than apply into the LCM equation.

GCF(892,896) = 4
LCM(892,896) = ( 892 × 896) / 4
LCM(892,896) = 799232 / 4
LCM(892,896) = 199808

Properties of LCM 892 and 896

(i) The LCM of 896 and 892 is associative

LCM of 892 and 896 = LCM of 896 and 892

Related Least Common Multiples of 892

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 892 and 896

1. What is the LCM of 892 and 896?

Answer: LCM of 892 and 896 is 199808.

2. What are the Factors of 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

3. What are the Factors of 896?

Answer: Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. There are 16 integers that are factors of 896. The greatest factor of 896 is 896.

4. How to Find the LCM of 892 and 896?

Answer:

Least Common Multiple of 892 and 896 = 199808

Step 1: Find the prime factorization of 892

892 = 2 x 2 x 223

Step 2: Find the prime factorization of 896

896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 199808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 223

Step 4: Therefore, the least common multiple of 892 and 896 is 199808.