Least Common Multiple of 909 and 915

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 915 the smallest integer that is 277245 that is divisible by both numbers.

Least Common Multiple (LCM) of 909 and 915 is 277245.

LCM(909,915) = 277245

LCM of 909 and 915

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

LCM of:
and

Least Common Multiple of 909 and 915

LCM of 909 and 915 is 277245

Least common multiple can be found by multiplying the highest exponent prime factors of 909 and 915. First we will calculate the prime factors of 909 and 915.

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 915


3 915
5 305
61 61
1

Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 909 and 915.

LCM(909,915) = 32×51×611×1011
LCM(909,915) = 277245

Factors of 909

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

1, 3, 9, 101, 303, 909

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Least Common Multiple of 909 and 915 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 915, than apply into the LCM equation.

GCF(909,915) = 3
LCM(909,915) = ( 909 × 915) / 3
LCM(909,915) = 831735 / 3
LCM(909,915) = 277245

Properties of LCM 909 and 915

(i) The LCM of 915 and 909 is associative

LCM of 909 and 915 = LCM of 915 and 909

Related Least Common Multiples of 909

Related Least Common Multiples of 915

Frequently Asked Questions on LCM of 909 and 915

1. What is the LCM of 909 and 915?

Answer: LCM of 909 and 915 is 277245.

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 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

4. How to Find the LCM of 909 and 915?

Answer:

Least Common Multiple of 909 and 915 = 277245

Step 1: Find the prime factorization of 909

909 = 3 x 3 x 101

Step 2: Find the prime factorization of 915

915 = 3 x 5 x 61

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

LCM = 277245 = 3 x 3 x 5 x 61 x 101

Step 4: Therefore, the least common multiple of 909 and 915 is 277245.