Least Common Multiple of 924 and 932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 924 and 932 the smallest integer that is 215292 that is divisible by both numbers.

Least Common Multiple (LCM) of 924 and 932 is 215292.

LCM(924,932) = 215292

LCM of 924 and 932

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

LCM of:
and

Least Common Multiple of 924 and 932

LCM of 924 and 932 is 215292

Least common multiple can be found by multiplying the highest exponent prime factors of 924 and 932. First we will calculate the prime factors of 924 and 932.

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

Prime Factorization of 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 924 and 932.

LCM(924,932) = 22×31×71×111×2331
LCM(924,932) = 215292

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

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Least Common Multiple of 924 and 932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 924 and 932, than apply into the LCM equation.

GCF(924,932) = 4
LCM(924,932) = ( 924 × 932) / 4
LCM(924,932) = 861168 / 4
LCM(924,932) = 215292

Properties of LCM 924 and 932

(i) The LCM of 932 and 924 is associative

LCM of 924 and 932 = LCM of 932 and 924

Related Least Common Multiples of 924

Related Least Common Multiples of 932

Frequently Asked Questions on LCM of 924 and 932

1. What is the LCM of 924 and 932?

Answer: LCM of 924 and 932 is 215292.

2. 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.

3. What are the Factors of 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

4. How to Find the LCM of 924 and 932?

Answer:

Least Common Multiple of 924 and 932 = 215292

Step 1: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 932

932 = 2 x 2 x 233

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

LCM = 215292 = 2 x 2 x 3 x 7 x 11 x 233

Step 4: Therefore, the least common multiple of 924 and 932 is 215292.