Least Common Multiple of 921 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 921 and 924 the smallest integer that is 283668 that is divisible by both numbers.

Least Common Multiple (LCM) of 921 and 924 is 283668.

LCM(921,924) = 283668

LCM of 921 and 924

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

LCM of:
and

Least Common Multiple of 921 and 924

LCM of 921 and 924 is 283668

Least common multiple can be found by multiplying the highest exponent prime factors of 921 and 924. First we will calculate the prime factors of 921 and 924.

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

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 921 and 924.

LCM(921,924) = 22×31×71×111×3071
LCM(921,924) = 283668

Factors of 921

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

1, 3, 307, 921

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 921 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 921 and 924, than apply into the LCM equation.

GCF(921,924) = 3
LCM(921,924) = ( 921 × 924) / 3
LCM(921,924) = 851004 / 3
LCM(921,924) = 283668

Properties of LCM 921 and 924

(i) The LCM of 924 and 921 is associative

LCM of 921 and 924 = LCM of 924 and 921

Related Least Common Multiples of 921

Related Least Common Multiples of 924

Frequently Asked Questions on LCM of 921 and 924

1. What is the LCM of 921 and 924?

Answer: LCM of 921 and 924 is 283668.

2. 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.

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 921 and 924?

Answer:

Least Common Multiple of 921 and 924 = 283668

Step 1: Find the prime factorization of 921

921 = 3 x 307

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 = 283668 = 2 x 2 x 3 x 7 x 11 x 307

Step 4: Therefore, the least common multiple of 921 and 924 is 283668.