Least Common Multiple of 915 and 921

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 921 the smallest integer that is 280905 that is divisible by both numbers.

Least Common Multiple (LCM) of 915 and 921 is 280905.

LCM(915,921) = 280905

LCM of 915 and 921

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

LCM of:
and

Least Common Multiple of 915 and 921

LCM of 915 and 921 is 280905

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 921. First we will calculate the prime factors of 915 and 921.

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 921


3 921
307 307
1

Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:

921 = 31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 915 and 921.

LCM(915,921) = 31×51×611×3071
LCM(915,921) = 280905

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 921

List of positive integer factors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Least Common Multiple of 915 and 921 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 921, than apply into the LCM equation.

GCF(915,921) = 3
LCM(915,921) = ( 915 × 921) / 3
LCM(915,921) = 842715 / 3
LCM(915,921) = 280905

Properties of LCM 915 and 921

(i) The LCM of 921 and 915 is associative

LCM of 915 and 921 = LCM of 921 and 915

Related Least Common Multiples of 915

Related Least Common Multiples of 921

Frequently Asked Questions on LCM of 915 and 921

1. What is the LCM of 915 and 921?

Answer: LCM of 915 and 921 is 280905.

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 921?

Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.

4. How to Find the LCM of 915 and 921?

Answer:

Least Common Multiple of 915 and 921 = 280905

Step 1: Find the prime factorization of 915

915 = 3 x 5 x 61

Step 2: Find the prime factorization of 921

921 = 3 x 307

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

LCM = 280905 = 3 x 5 x 61 x 307

Step 4: Therefore, the least common multiple of 915 and 921 is 280905.