Least Common Multiple of 939 and 945

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 945 the smallest integer that is 295785 that is divisible by both numbers.

Least Common Multiple (LCM) of 939 and 945 is 295785.

LCM(939,945) = 295785

LCM of 939 and 945

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

LCM of:
and

Least Common Multiple of 939 and 945

LCM of 939 and 945 is 295785

Least common multiple can be found by multiplying the highest exponent prime factors of 939 and 945. First we will calculate the prime factors of 939 and 945.

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 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3, 5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 939 and 945.

LCM(939,945) = 33×51×71×3131
LCM(939,945) = 295785

Factors of 939

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

1, 3, 313, 939

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Least Common Multiple of 939 and 945 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 945, than apply into the LCM equation.

GCF(939,945) = 3
LCM(939,945) = ( 939 × 945) / 3
LCM(939,945) = 887355 / 3
LCM(939,945) = 295785

Properties of LCM 939 and 945

(i) The LCM of 945 and 939 is associative

LCM of 939 and 945 = LCM of 945 and 939

Related Least Common Multiples of 939

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 939 and 945

1. What is the LCM of 939 and 945?

Answer: LCM of 939 and 945 is 295785.

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 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

4. How to Find the LCM of 939 and 945?

Answer:

Least Common Multiple of 939 and 945 = 295785

Step 1: Find the prime factorization of 939

939 = 3 x 313

Step 2: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

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

LCM = 295785 = 3 x 3 x 3 x 5 x 7 x 313

Step 4: Therefore, the least common multiple of 939 and 945 is 295785.