Least Common Multiple of 913 and 920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 913 and 920 the smallest integer that is 839960 that is divisible by both numbers.

Least Common Multiple (LCM) of 913 and 920 is 839960.

LCM(913,920) = 839960

LCM of 913 and 920

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

LCM of:
and

Least Common Multiple of 913 and 920

LCM of 913 and 920 is 839960

Least common multiple can be found by multiplying the highest exponent prime factors of 913 and 920. First we will calculate the prime factors of 913 and 920.

Prime Factorization of 913


11 913
83 83
1

Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:

913 = 111×831

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 913 and 920.

LCM(913,920) = 23×51×111×231×831
LCM(913,920) = 839960

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Least Common Multiple of 913 and 920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 913 and 920, than apply into the LCM equation.

GCF(913,920) = 1
LCM(913,920) = ( 913 × 920) / 1
LCM(913,920) = 839960 / 1
LCM(913,920) = 839960

Properties of LCM 913 and 920

(i) The LCM of 920 and 913 is associative

LCM of 913 and 920 = LCM of 920 and 913

Frequently Asked Questions on LCM of 913 and 920

1. What is the LCM of 913 and 920?

Answer: LCM of 913 and 920 is 839960.

2. What are the Factors of 913?

Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.

3. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

4. How to Find the LCM of 913 and 920?

Answer:

Least Common Multiple of 913 and 920 = 839960

Step 1: Find the prime factorization of 913

913 = 11 x 83

Step 2: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

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

LCM = 839960 = 2 x 2 x 2 x 5 x 11 x 23 x 83

Step 4: Therefore, the least common multiple of 913 and 920 is 839960.