Least Common Multiple of 907 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 907 and 909 the smallest integer that is 824463 that is divisible by both numbers.

Least Common Multiple (LCM) of 907 and 909 is 824463.

LCM(907,909) = 824463

LCM of 907 and 909

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

LCM of:
and

Least Common Multiple of 907 and 909

LCM of 907 and 909 is 824463

Least common multiple can be found by multiplying the highest exponent prime factors of 907 and 909. First we will calculate the prime factors of 907 and 909.

Prime Factorization of 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

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 907 and 909.

LCM(907,909) = 32×1011×9071
LCM(907,909) = 824463

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

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 907 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 907 and 909, than apply into the LCM equation.

GCF(907,909) = 1
LCM(907,909) = ( 907 × 909) / 1
LCM(907,909) = 824463 / 1
LCM(907,909) = 824463

Properties of LCM 907 and 909

(i) The LCM of 909 and 907 is associative

LCM of 907 and 909 = LCM of 909 and 907

Related Least Common Multiples of 907

Related Least Common Multiples of 909

Frequently Asked Questions on LCM of 907 and 909

1. What is the LCM of 907 and 909?

Answer: LCM of 907 and 909 is 824463.

2. What are the Factors of 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

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 907 and 909?

Answer:

Least Common Multiple of 907 and 909 = 824463

Step 1: Find the prime factorization of 907

907 = 907

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 = 824463 = 3 x 3 x 101 x 907

Step 4: Therefore, the least common multiple of 907 and 909 is 824463.