Least Common Multiple of 894 and 897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 894 and 897 the smallest integer that is 267306 that is divisible by both numbers.

Least Common Multiple (LCM) of 894 and 897 is 267306.

LCM(894,897) = 267306

LCM of 894 and 897

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

LCM of:
and

Least Common Multiple of 894 and 897

LCM of 894 and 897 is 267306

Least common multiple can be found by multiplying the highest exponent prime factors of 894 and 897. First we will calculate the prime factors of 894 and 897.

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

Prime Factorization of 897


3 897
13 299
23 23
1

Prime factors of 897 are 3, 13,23. Prime factorization of 897 in exponential form is:

897 = 31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 894 and 897.

LCM(894,897) = 21×31×131×231×1491
LCM(894,897) = 267306

Factors of 894

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

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

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Least Common Multiple of 894 and 897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 894 and 897, than apply into the LCM equation.

GCF(894,897) = 3
LCM(894,897) = ( 894 × 897) / 3
LCM(894,897) = 801918 / 3
LCM(894,897) = 267306

Properties of LCM 894 and 897

(i) The LCM of 897 and 894 is associative

LCM of 894 and 897 = LCM of 897 and 894

Related Least Common Multiples of 894

Related Least Common Multiples of 897

Frequently Asked Questions on LCM of 894 and 897

1. What is the LCM of 894 and 897?

Answer: LCM of 894 and 897 is 267306.

2. 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.

3. What are the Factors of 897?

Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.

4. How to Find the LCM of 894 and 897?

Answer:

Least Common Multiple of 894 and 897 = 267306

Step 1: Find the prime factorization of 894

894 = 2 x 3 x 149

Step 2: Find the prime factorization of 897

897 = 3 x 13 x 23

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

LCM = 267306 = 2 x 3 x 13 x 23 x 149

Step 4: Therefore, the least common multiple of 894 and 897 is 267306.