Least Common Multiple of 916 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 916 and 920 the smallest integer that is 210680 that is divisible by both numbers.

Least Common Multiple (LCM) of 916 and 920 is 210680.

LCM(916,920) = 210680

LCM of 916 and 920

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

LCM of:
and

Least Common Multiple of 916 and 920

LCM of 916 and 920 is 210680

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 920. First we will calculate the prime factors of 916 and 920.

Prime Factorization of 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

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 916 and 920.

LCM(916,920) = 23×51×231×2291
LCM(916,920) = 210680

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 916 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 916 and 920, than apply into the LCM equation.

GCF(916,920) = 4
LCM(916,920) = ( 916 × 920) / 4
LCM(916,920) = 842720 / 4
LCM(916,920) = 210680

Properties of LCM 916 and 920

(i) The LCM of 920 and 916 is associative

LCM of 916 and 920 = LCM of 920 and 916

Related Least Common Multiples of 916

Related Least Common Multiples of 920

Frequently Asked Questions on LCM of 916 and 920

1. What is the LCM of 916 and 920?

Answer: LCM of 916 and 920 is 210680.

2. What are the Factors of 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

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 916 and 920?

Answer:

Least Common Multiple of 916 and 920 = 210680

Step 1: Find the prime factorization of 916

916 = 2 x 2 x 229

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 = 210680 = 2 x 2 x 2 x 5 x 23 x 229

Step 4: Therefore, the least common multiple of 916 and 920 is 210680.