Least Common Multiple of 892 and 894

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 894 the smallest integer that is 398724 that is divisible by both numbers.

Least Common Multiple (LCM) of 892 and 894 is 398724.

LCM(892,894) = 398724

LCM of 892 and 894

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

LCM of:
and

Least Common Multiple of 892 and 894

LCM of 892 and 894 is 398724

Least common multiple can be found by multiplying the highest exponent prime factors of 892 and 894. First we will calculate the prime factors of 892 and 894.

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 894


2 894
3 447
149 149
1

Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:

894 = 21×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 892 and 894.

LCM(892,894) = 22×31×1491×2231
LCM(892,894) = 398724

Factors of 892

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

1, 2, 4, 223, 446, 892

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Least Common Multiple of 892 and 894 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 894, than apply into the LCM equation.

GCF(892,894) = 2
LCM(892,894) = ( 892 × 894) / 2
LCM(892,894) = 797448 / 2
LCM(892,894) = 398724

Properties of LCM 892 and 894

(i) The LCM of 894 and 892 is associative

LCM of 892 and 894 = LCM of 894 and 892

Related Least Common Multiples of 892

Related Least Common Multiples of 894

Frequently Asked Questions on LCM of 892 and 894

1. What is the LCM of 892 and 894?

Answer: LCM of 892 and 894 is 398724.

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 894?

Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.

4. How to Find the LCM of 892 and 894?

Answer:

Least Common Multiple of 892 and 894 = 398724

Step 1: Find the prime factorization of 892

892 = 2 x 2 x 223

Step 2: Find the prime factorization of 894

894 = 2 x 3 x 149

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

LCM = 398724 = 2 x 2 x 3 x 149 x 223

Step 4: Therefore, the least common multiple of 892 and 894 is 398724.