Least Common Multiple of 915 and 922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 915 and 922 the smallest integer that is 843630 that is divisible by both numbers.

Least Common Multiple (LCM) of 915 and 922 is 843630.

LCM(915,922) = 843630

LCM of 915 and 922

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

LCM of:
and

Least Common Multiple of 915 and 922

LCM of 915 and 922 is 843630

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 922. First we will calculate the prime factors of 915 and 922.

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

Prime Factorization of 922


2 922
461 461
1

Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:

922 = 21×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 915 and 922.

LCM(915,922) = 21×31×51×611×4611
LCM(915,922) = 843630

Factors of 915

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

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

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Least Common Multiple of 915 and 922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 915 and 922, than apply into the LCM equation.

GCF(915,922) = 1
LCM(915,922) = ( 915 × 922) / 1
LCM(915,922) = 843630 / 1
LCM(915,922) = 843630

Properties of LCM 915 and 922

(i) The LCM of 922 and 915 is associative

LCM of 915 and 922 = LCM of 922 and 915

Frequently Asked Questions on LCM of 915 and 922

1. What is the LCM of 915 and 922?

Answer: LCM of 915 and 922 is 843630.

2. 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.

3. What are the Factors of 922?

Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.

4. How to Find the LCM of 915 and 922?

Answer:

Least Common Multiple of 915 and 922 = 843630

Step 1: Find the prime factorization of 915

915 = 3 x 5 x 61

Step 2: Find the prime factorization of 922

922 = 2 x 461

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

LCM = 843630 = 2 x 3 x 5 x 61 x 461

Step 4: Therefore, the least common multiple of 915 and 922 is 843630.