Least Common Multiple of 884 and 892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 884 and 892 the smallest integer that is 197132 that is divisible by both numbers.

Least Common Multiple (LCM) of 884 and 892 is 197132.

LCM(884,892) = 197132

LCM of 884 and 892

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

LCM of:
and

Least Common Multiple of 884 and 892

LCM of 884 and 892 is 197132

Least common multiple can be found by multiplying the highest exponent prime factors of 884 and 892. First we will calculate the prime factors of 884 and 892.

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 884 and 892.

LCM(884,892) = 22×131×171×2231
LCM(884,892) = 197132

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Factors of 892

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

1, 2, 4, 223, 446, 892

Least Common Multiple of 884 and 892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 884 and 892, than apply into the LCM equation.

GCF(884,892) = 4
LCM(884,892) = ( 884 × 892) / 4
LCM(884,892) = 788528 / 4
LCM(884,892) = 197132

Properties of LCM 884 and 892

(i) The LCM of 892 and 884 is associative

LCM of 884 and 892 = LCM of 892 and 884

Related Least Common Multiples of 884

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 884 and 892

1. What is the LCM of 884 and 892?

Answer: LCM of 884 and 892 is 197132.

2. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

3. 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.

4. How to Find the LCM of 884 and 892?

Answer:

Least Common Multiple of 884 and 892 = 197132

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 892

892 = 2 x 2 x 223

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

LCM = 197132 = 2 x 2 x 13 x 17 x 223

Step 4: Therefore, the least common multiple of 884 and 892 is 197132.