Least Common Multiple of 907 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 907 and 915 the smallest integer that is 829905 that is divisible by both numbers.

Least Common Multiple (LCM) of 907 and 915 is 829905.

LCM(907,915) = 829905

LCM of 907 and 915

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

LCM of:
and

Least Common Multiple of 907 and 915

LCM of 907 and 915 is 829905

Least common multiple can be found by multiplying the highest exponent prime factors of 907 and 915. First we will calculate the prime factors of 907 and 915.

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 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 907 and 915.

LCM(907,915) = 31×51×611×9071
LCM(907,915) = 829905

Factors of 907

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

1, 907

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 907 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 907 and 915, than apply into the LCM equation.

GCF(907,915) = 1
LCM(907,915) = ( 907 × 915) / 1
LCM(907,915) = 829905 / 1
LCM(907,915) = 829905

Properties of LCM 907 and 915

(i) The LCM of 915 and 907 is associative

LCM of 907 and 915 = LCM of 915 and 907

Related Least Common Multiples of 907

Related Least Common Multiples of 915

Frequently Asked Questions on LCM of 907 and 915

1. What is the LCM of 907 and 915?

Answer: LCM of 907 and 915 is 829905.

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 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 907 and 915?

Answer:

Least Common Multiple of 907 and 915 = 829905

Step 1: Find the prime factorization of 907

907 = 907

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 = 829905 = 3 x 5 x 61 x 907

Step 4: Therefore, the least common multiple of 907 and 915 is 829905.