Least Common Multiple of 901 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 901 and 906 the smallest integer that is 816306 that is divisible by both numbers.

Least Common Multiple (LCM) of 901 and 906 is 816306.

LCM(901,906) = 816306

LCM of 901 and 906

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

LCM of:
and

Least Common Multiple of 901 and 906

LCM of 901 and 906 is 816306

Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 906. First we will calculate the prime factors of 901 and 906.

Prime Factorization of 901


17 901
53 53
1

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 171×531

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 901 and 906.

LCM(901,906) = 21×31×171×531×1511
LCM(901,906) = 816306

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53, 901

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 901 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 901 and 906, than apply into the LCM equation.

GCF(901,906) = 1
LCM(901,906) = ( 901 × 906) / 1
LCM(901,906) = 816306 / 1
LCM(901,906) = 816306

Properties of LCM 901 and 906

(i) The LCM of 906 and 901 is associative

LCM of 901 and 906 = LCM of 906 and 901

Related Least Common Multiples of 901

Related Least Common Multiples of 906

Frequently Asked Questions on LCM of 901 and 906

1. What is the LCM of 901 and 906?

Answer: LCM of 901 and 906 is 816306.

2. What are the Factors of 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

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 901 and 906?

Answer:

Least Common Multiple of 901 and 906 = 816306

Step 1: Find the prime factorization of 901

901 = 17 x 53

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 = 816306 = 2 x 3 x 17 x 53 x 151

Step 4: Therefore, the least common multiple of 901 and 906 is 816306.