Least Common Multiple of 906 and 911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 906 and 911 the smallest integer that is 825366 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 911 is 825366.

LCM(906,911) = 825366

LCM of 906 and 911

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

LCM of:
and

Least Common Multiple of 906 and 911

LCM of 906 and 911 is 825366

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 911. First we will calculate the prime factors of 906 and 911.

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

Prime Factorization of 911


911 911
1

Prime factors of 911 are 911. Prime factorization of 911 in exponential form is:

911 = 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 911.

LCM(906,911) = 21×31×1511×9111
LCM(906,911) = 825366

Factors of 906

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

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

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1, 911

Least Common Multiple of 906 and 911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 906 and 911, than apply into the LCM equation.

GCF(906,911) = 1
LCM(906,911) = ( 906 × 911) / 1
LCM(906,911) = 825366 / 1
LCM(906,911) = 825366

Properties of LCM 906 and 911

(i) The LCM of 911 and 906 is associative

LCM of 906 and 911 = LCM of 911 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 911

Frequently Asked Questions on LCM of 906 and 911

1. What is the LCM of 906 and 911?

Answer: LCM of 906 and 911 is 825366.

2. 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.

3. What are the Factors of 911?

Answer: Factors of 911 are 1, 911. There are 2 integers that are factors of 911. The greatest factor of 911 is 911.

4. How to Find the LCM of 906 and 911?

Answer:

Least Common Multiple of 906 and 911 = 825366

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

Step 2: Find the prime factorization of 911

911 = 911

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

LCM = 825366 = 2 x 3 x 151 x 911

Step 4: Therefore, the least common multiple of 906 and 911 is 825366.