Least Common Multiple of 906 and 909

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 909 the smallest integer that is 274518 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 909 is 274518.

LCM(906,909) = 274518

LCM of 906 and 909

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

LCM of:
and

Least Common Multiple of 906 and 909

LCM of 906 and 909 is 274518

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 909. First we will calculate the prime factors of 906 and 909.

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 909


3 909
3 303
101 101
1

Prime factors of 909 are 3,101. Prime factorization of 909 in exponential form is:

909 = 32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 909.

LCM(906,909) = 21×32×1011×1511
LCM(906,909) = 274518

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 909

List of positive integer factors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Least Common Multiple of 906 and 909 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 909, than apply into the LCM equation.

GCF(906,909) = 3
LCM(906,909) = ( 906 × 909) / 3
LCM(906,909) = 823554 / 3
LCM(906,909) = 274518

Properties of LCM 906 and 909

(i) The LCM of 909 and 906 is associative

LCM of 906 and 909 = LCM of 909 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 909

Frequently Asked Questions on LCM of 906 and 909

1. What is the LCM of 906 and 909?

Answer: LCM of 906 and 909 is 274518.

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 909?

Answer: Factors of 909 are 1, 3, 9, 101, 303, 909. There are 6 integers that are factors of 909. The greatest factor of 909 is 909.

4. How to Find the LCM of 906 and 909?

Answer:

Least Common Multiple of 906 and 909 = 274518

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

Step 2: Find the prime factorization of 909

909 = 3 x 3 x 101

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

LCM = 274518 = 2 x 3 x 3 x 101 x 151

Step 4: Therefore, the least common multiple of 906 and 909 is 274518.