Least Common Multiple of 920 and 924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 920 and 924 the smallest integer that is 212520 that is divisible by both numbers.

Least Common Multiple (LCM) of 920 and 924 is 212520.

LCM(920,924) = 212520

LCM of 920 and 924

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

LCM of:
and

Least Common Multiple of 920 and 924

LCM of 920 and 924 is 212520

Least common multiple can be found by multiplying the highest exponent prime factors of 920 and 924. First we will calculate the prime factors of 920 and 924.

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

Prime Factorization of 924


2 924
2 462
3 231
7 77
11 11
1

Prime factors of 924 are 2, 3, 7,11. Prime factorization of 924 in exponential form is:

924 = 22×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 920 and 924.

LCM(920,924) = 23×31×51×71×111×231
LCM(920,924) = 212520

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

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Least Common Multiple of 920 and 924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 920 and 924, than apply into the LCM equation.

GCF(920,924) = 4
LCM(920,924) = ( 920 × 924) / 4
LCM(920,924) = 850080 / 4
LCM(920,924) = 212520

Properties of LCM 920 and 924

(i) The LCM of 924 and 920 is associative

LCM of 920 and 924 = LCM of 924 and 920

Related Least Common Multiples of 920

Related Least Common Multiples of 924

Frequently Asked Questions on LCM of 920 and 924

1. What is the LCM of 920 and 924?

Answer: LCM of 920 and 924 is 212520.

2. 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.

3. What are the Factors of 924?

Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.

4. How to Find the LCM of 920 and 924?

Answer:

Least Common Multiple of 920 and 924 = 212520

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

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

LCM = 212520 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 920 and 924 is 212520.