Least Common Multiple of 897 and 904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 897 and 904 the smallest integer that is 810888 that is divisible by both numbers.

Least Common Multiple (LCM) of 897 and 904 is 810888.

LCM(897,904) = 810888

LCM of 897 and 904

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

LCM of:
and

Least Common Multiple of 897 and 904

LCM of 897 and 904 is 810888

Least common multiple can be found by multiplying the highest exponent prime factors of 897 and 904. First we will calculate the prime factors of 897 and 904.

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

Prime Factorization of 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 897 and 904.

LCM(897,904) = 23×31×131×231×1131
LCM(897,904) = 810888

Factors of 897

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

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

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Least Common Multiple of 897 and 904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 897 and 904, than apply into the LCM equation.

GCF(897,904) = 1
LCM(897,904) = ( 897 × 904) / 1
LCM(897,904) = 810888 / 1
LCM(897,904) = 810888

Properties of LCM 897 and 904

(i) The LCM of 904 and 897 is associative

LCM of 897 and 904 = LCM of 904 and 897

Related Least Common Multiples of 897

Related Least Common Multiples of 904

Frequently Asked Questions on LCM of 897 and 904

1. What is the LCM of 897 and 904?

Answer: LCM of 897 and 904 is 810888.

2. 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.

3. What are the Factors of 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

4. How to Find the LCM of 897 and 904?

Answer:

Least Common Multiple of 897 and 904 = 810888

Step 1: Find the prime factorization of 897

897 = 3 x 13 x 23

Step 2: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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

LCM = 810888 = 2 x 2 x 2 x 3 x 13 x 23 x 113

Step 4: Therefore, the least common multiple of 897 and 904 is 810888.