Least Common Multiple of 899 and 906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 899 and 906 the smallest integer that is 814494 that is divisible by both numbers.

Least Common Multiple (LCM) of 899 and 906 is 814494.

LCM(899,906) = 814494

LCM of 899 and 906

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

LCM of:
and

Least Common Multiple of 899 and 906

LCM of 899 and 906 is 814494

Least common multiple can be found by multiplying the highest exponent prime factors of 899 and 906. First we will calculate the prime factors of 899 and 906.

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

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2, 3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 899 and 906.

LCM(899,906) = 21×31×291×311×1511
LCM(899,906) = 814494

Factors of 899

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

1, 29, 31, 899

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Least Common Multiple of 899 and 906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 899 and 906, than apply into the LCM equation.

GCF(899,906) = 1
LCM(899,906) = ( 899 × 906) / 1
LCM(899,906) = 814494 / 1
LCM(899,906) = 814494

Properties of LCM 899 and 906

(i) The LCM of 906 and 899 is associative

LCM of 899 and 906 = LCM of 906 and 899

Related Least Common Multiples of 899

Related Least Common Multiples of 906

Frequently Asked Questions on LCM of 899 and 906

1. What is the LCM of 899 and 906?

Answer: LCM of 899 and 906 is 814494.

2. 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.

3. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

4. How to Find the LCM of 899 and 906?

Answer:

Least Common Multiple of 899 and 906 = 814494

Step 1: Find the prime factorization of 899

899 = 29 x 31

Step 2: Find the prime factorization of 906

906 = 2 x 3 x 151

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

LCM = 814494 = 2 x 3 x 29 x 31 x 151

Step 4: Therefore, the least common multiple of 899 and 906 is 814494.