Least Common Multiple of 909 and 914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 909 and 914 the smallest integer that is 830826 that is divisible by both numbers.

Least Common Multiple (LCM) of 909 and 914 is 830826.

LCM(909,914) = 830826

LCM of 909 and 914

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

LCM of:
and

Least Common Multiple of 909 and 914

LCM of 909 and 914 is 830826

Least common multiple can be found by multiplying the highest exponent prime factors of 909 and 914. First we will calculate the prime factors of 909 and 914.

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

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 909 and 914.

LCM(909,914) = 21×32×1011×4571
LCM(909,914) = 830826

Factors of 909

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

1, 3, 9, 101, 303, 909

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Least Common Multiple of 909 and 914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 909 and 914, than apply into the LCM equation.

GCF(909,914) = 1
LCM(909,914) = ( 909 × 914) / 1
LCM(909,914) = 830826 / 1
LCM(909,914) = 830826

Properties of LCM 909 and 914

(i) The LCM of 914 and 909 is associative

LCM of 909 and 914 = LCM of 914 and 909

Related Least Common Multiples of 909

Related Least Common Multiples of 914

Frequently Asked Questions on LCM of 909 and 914

1. What is the LCM of 909 and 914?

Answer: LCM of 909 and 914 is 830826.

2. 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.

3. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

4. How to Find the LCM of 909 and 914?

Answer:

Least Common Multiple of 909 and 914 = 830826

Step 1: Find the prime factorization of 909

909 = 3 x 3 x 101

Step 2: Find the prime factorization of 914

914 = 2 x 457

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

LCM = 830826 = 2 x 3 x 3 x 101 x 457

Step 4: Therefore, the least common multiple of 909 and 914 is 830826.