Least Common Multiple of 932 and 940

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 940 the smallest integer that is 219020 that is divisible by both numbers.

Least Common Multiple (LCM) of 932 and 940 is 219020.

LCM(932,940) = 219020

LCM of 932 and 940

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

LCM of:
and

Least Common Multiple of 932 and 940

LCM of 932 and 940 is 219020

Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 940. First we will calculate the prime factors of 932 and 940.

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 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 932 and 940.

LCM(932,940) = 22×51×471×2331
LCM(932,940) = 219020

Factors of 932

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

1, 2, 4, 233, 466, 932

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Least Common Multiple of 932 and 940 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 940, than apply into the LCM equation.

GCF(932,940) = 4
LCM(932,940) = ( 932 × 940) / 4
LCM(932,940) = 876080 / 4
LCM(932,940) = 219020

Properties of LCM 932 and 940

(i) The LCM of 940 and 932 is associative

LCM of 932 and 940 = LCM of 940 and 932

Related Least Common Multiples of 932

Related Least Common Multiples of 940

Frequently Asked Questions on LCM of 932 and 940

1. What is the LCM of 932 and 940?

Answer: LCM of 932 and 940 is 219020.

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 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

4. How to Find the LCM of 932 and 940?

Answer:

Least Common Multiple of 932 and 940 = 219020

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

Step 2: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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

LCM = 219020 = 2 x 2 x 5 x 47 x 233

Step 4: Therefore, the least common multiple of 932 and 940 is 219020.