Least Common Multiple of 912 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 912 and 920 the smallest integer that is 104880 that is divisible by both numbers.

Least Common Multiple (LCM) of 912 and 920 is 104880.

LCM(912,920) = 104880

LCM of 912 and 920

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

LCM of:
and

Least Common Multiple of 912 and 920

LCM of 912 and 920 is 104880

Least common multiple can be found by multiplying the highest exponent prime factors of 912 and 920. First we will calculate the prime factors of 912 and 920.

Prime Factorization of 912


2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 912 are 2, 3,19. Prime factorization of 912 in exponential form is:

912 = 24×31×191

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 912 and 920.

LCM(912,920) = 24×31×51×191×231
LCM(912,920) = 104880

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 912 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 912 and 920, than apply into the LCM equation.

GCF(912,920) = 8
LCM(912,920) = ( 912 × 920) / 8
LCM(912,920) = 839040 / 8
LCM(912,920) = 104880

Properties of LCM 912 and 920

(i) The LCM of 920 and 912 is associative

LCM of 912 and 920 = LCM of 920 and 912

Related Least Common Multiples of 912

Related Least Common Multiples of 920

Frequently Asked Questions on LCM of 912 and 920

1. What is the LCM of 912 and 920?

Answer: LCM of 912 and 920 is 104880.

2. What are the Factors of 912?

Answer: Factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912. There are 20 integers that are factors of 912. The greatest factor of 912 is 912.

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 912 and 920?

Answer:

Least Common Multiple of 912 and 920 = 104880

Step 1: Find the prime factorization of 912

912 = 2 x 2 x 2 x 2 x 3 x 19

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 = 104880 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 23

Step 4: Therefore, the least common multiple of 912 and 920 is 104880.