Least Common Multiple of 939 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 939 and 940 the smallest integer that is 882660 that is divisible by both numbers.

Least Common Multiple (LCM) of 939 and 940 is 882660.

LCM(939,940) = 882660

LCM of 939 and 940

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

LCM of:
and

Least Common Multiple of 939 and 940

LCM of 939 and 940 is 882660

Least common multiple can be found by multiplying the highest exponent prime factors of 939 and 940. First we will calculate the prime factors of 939 and 940.

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 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 939 and 940.

LCM(939,940) = 22×31×51×471×3131
LCM(939,940) = 882660

Factors of 939

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

1, 3, 313, 939

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 939 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 939 and 940, than apply into the LCM equation.

GCF(939,940) = 1
LCM(939,940) = ( 939 × 940) / 1
LCM(939,940) = 882660 / 1
LCM(939,940) = 882660

Properties of LCM 939 and 940

(i) The LCM of 940 and 939 is associative

LCM of 939 and 940 = LCM of 940 and 939

Related Least Common Multiples of 939

Related Least Common Multiples of 940

Frequently Asked Questions on LCM of 939 and 940

1. What is the LCM of 939 and 940?

Answer: LCM of 939 and 940 is 882660.

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 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 939 and 940?

Answer:

Least Common Multiple of 939 and 940 = 882660

Step 1: Find the prime factorization of 939

939 = 3 x 313

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 = 882660 = 2 x 2 x 3 x 5 x 47 x 313

Step 4: Therefore, the least common multiple of 939 and 940 is 882660.