Least Common Multiple of 932 and 934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 932 and 934 the smallest integer that is 435244 that is divisible by both numbers.

Least Common Multiple (LCM) of 932 and 934 is 435244.

LCM(932,934) = 435244

LCM of 932 and 934

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

LCM of:
and

Least Common Multiple of 932 and 934

LCM of 932 and 934 is 435244

Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 934. First we will calculate the prime factors of 932 and 934.

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

Prime Factorization of 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 934.

LCM(932,934) = 22×2331×4671
LCM(932,934) = 435244

Factors of 932

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

1, 2, 4, 233, 466, 932

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Least Common Multiple of 932 and 934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 932 and 934, than apply into the LCM equation.

GCF(932,934) = 2
LCM(932,934) = ( 932 × 934) / 2
LCM(932,934) = 870488 / 2
LCM(932,934) = 435244

Properties of LCM 932 and 934

(i) The LCM of 934 and 932 is associative

LCM of 932 and 934 = LCM of 934 and 932

Related Least Common Multiples of 932

Related Least Common Multiples of 934

Frequently Asked Questions on LCM of 932 and 934

1. What is the LCM of 932 and 934?

Answer: LCM of 932 and 934 is 435244.

2. 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.

3. What are the Factors of 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

4. How to Find the LCM of 932 and 934?

Answer:

Least Common Multiple of 932 and 934 = 435244

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

Step 2: Find the prime factorization of 934

934 = 2 x 467

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

LCM = 435244 = 2 x 2 x 233 x 467

Step 4: Therefore, the least common multiple of 932 and 934 is 435244.