Least Common Multiple of 939 and 947

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 947 the smallest integer that is 889233 that is divisible by both numbers.

Least Common Multiple (LCM) of 939 and 947 is 889233.

LCM(939,947) = 889233

LCM of 939 and 947

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

LCM of:
and

Least Common Multiple of 939 and 947

LCM of 939 and 947 is 889233

Least common multiple can be found by multiplying the highest exponent prime factors of 939 and 947. First we will calculate the prime factors of 939 and 947.

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 947


947 947
1

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 939 and 947.

LCM(939,947) = 31×3131×9471
LCM(939,947) = 889233

Factors of 939

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

1, 3, 313, 939

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1, 947

Least Common Multiple of 939 and 947 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 947, than apply into the LCM equation.

GCF(939,947) = 1
LCM(939,947) = ( 939 × 947) / 1
LCM(939,947) = 889233 / 1
LCM(939,947) = 889233

Properties of LCM 939 and 947

(i) The LCM of 947 and 939 is associative

LCM of 939 and 947 = LCM of 947 and 939

Related Least Common Multiples of 939

Related Least Common Multiples of 947

Frequently Asked Questions on LCM of 939 and 947

1. What is the LCM of 939 and 947?

Answer: LCM of 939 and 947 is 889233.

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 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

4. How to Find the LCM of 939 and 947?

Answer:

Least Common Multiple of 939 and 947 = 889233

Step 1: Find the prime factorization of 939

939 = 3 x 313

Step 2: Find the prime factorization of 947

947 = 947

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

LCM = 889233 = 3 x 313 x 947

Step 4: Therefore, the least common multiple of 939 and 947 is 889233.