Least Common Multiple of 939 and 944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 939 and 944 the smallest integer that is 886416 that is divisible by both numbers.

Least Common Multiple (LCM) of 939 and 944 is 886416.

LCM(939,944) = 886416

LCM of 939 and 944

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

LCM of:
and

Least Common Multiple of 939 and 944

LCM of 939 and 944 is 886416

Least common multiple can be found by multiplying the highest exponent prime factors of 939 and 944. First we will calculate the prime factors of 939 and 944.

Prime Factorization of 939


3 939
313 313
1

Prime factors of 939 are 3,313. Prime factorization of 939 in exponential form is:

939 = 31×3131

Prime Factorization of 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

Now multiplying the highest exponent prime factors to calculate the LCM of 939 and 944.

LCM(939,944) = 24×31×591×3131
LCM(939,944) = 886416

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Least Common Multiple of 939 and 944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 939 and 944, than apply into the LCM equation.

GCF(939,944) = 1
LCM(939,944) = ( 939 × 944) / 1
LCM(939,944) = 886416 / 1
LCM(939,944) = 886416

Properties of LCM 939 and 944

(i) The LCM of 944 and 939 is associative

LCM of 939 and 944 = LCM of 944 and 939

Related Least Common Multiples of 939

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 939 and 944

1. What is the LCM of 939 and 944?

Answer: LCM of 939 and 944 is 886416.

2. What are the Factors of 939?

Answer: Factors of 939 are 1, 3, 313, 939. There are 4 integers that are factors of 939. The greatest factor of 939 is 939.

3. What are the Factors of 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

4. How to Find the LCM of 939 and 944?

Answer:

Least Common Multiple of 939 and 944 = 886416

Step 1: Find the prime factorization of 939

939 = 3 x 313

Step 2: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

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

LCM = 886416 = 2 x 2 x 2 x 2 x 3 x 59 x 313

Step 4: Therefore, the least common multiple of 939 and 944 is 886416.