Least Common Multiple of 898 and 899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 898 and 899 the smallest integer that is 807302 that is divisible by both numbers.

Least Common Multiple (LCM) of 898 and 899 is 807302.

LCM(898,899) = 807302

LCM of 898 and 899

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

LCM of:
and

Least Common Multiple of 898 and 899

LCM of 898 and 899 is 807302

Least common multiple can be found by multiplying the highest exponent prime factors of 898 and 899. First we will calculate the prime factors of 898 and 899.

Prime Factorization of 898


2 898
449 449
1

Prime factors of 898 are 2,449. Prime factorization of 898 in exponential form is:

898 = 21×4491

Prime Factorization of 899


29 899
31 31
1

Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:

899 = 291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 898 and 899.

LCM(898,899) = 21×291×311×4491
LCM(898,899) = 807302

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Least Common Multiple of 898 and 899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 898 and 899, than apply into the LCM equation.

GCF(898,899) = 1
LCM(898,899) = ( 898 × 899) / 1
LCM(898,899) = 807302 / 1
LCM(898,899) = 807302

Properties of LCM 898 and 899

(i) The LCM of 899 and 898 is associative

LCM of 898 and 899 = LCM of 899 and 898

Related Least Common Multiples of 898

Related Least Common Multiples of 899

Frequently Asked Questions on LCM of 898 and 899

1. What is the LCM of 898 and 899?

Answer: LCM of 898 and 899 is 807302.

2. What are the Factors of 898?

Answer: Factors of 898 are 1, 2, 449, 898. There are 4 integers that are factors of 898. The greatest factor of 898 is 898.

3. What are the Factors of 899?

Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.

4. How to Find the LCM of 898 and 899?

Answer:

Least Common Multiple of 898 and 899 = 807302

Step 1: Find the prime factorization of 898

898 = 2 x 449

Step 2: Find the prime factorization of 899

899 = 29 x 31

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

LCM = 807302 = 2 x 29 x 31 x 449

Step 4: Therefore, the least common multiple of 898 and 899 is 807302.