Least Common Multiple of 943 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 943 and 947 the smallest integer that is 893021 that is divisible by both numbers.

Least Common Multiple (LCM) of 943 and 947 is 893021.

LCM(943,947) = 893021

LCM of 943 and 947

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

LCM of:
and

Least Common Multiple of 943 and 947

LCM of 943 and 947 is 893021

Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 947. First we will calculate the prime factors of 943 and 947.

Prime Factorization of 943


23 943
41 41
1

Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:

943 = 231×411

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 943 and 947.

LCM(943,947) = 231×411×9471
LCM(943,947) = 893021

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Factors of 947

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

1, 947

Least Common Multiple of 943 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 943 and 947, than apply into the LCM equation.

GCF(943,947) = 1
LCM(943,947) = ( 943 × 947) / 1
LCM(943,947) = 893021 / 1
LCM(943,947) = 893021

Properties of LCM 943 and 947

(i) The LCM of 947 and 943 is associative

LCM of 943 and 947 = LCM of 947 and 943

Related Least Common Multiples of 943

Related Least Common Multiples of 947

Frequently Asked Questions on LCM of 943 and 947

1. What is the LCM of 943 and 947?

Answer: LCM of 943 and 947 is 893021.

2. What are the Factors of 943?

Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.

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 943 and 947?

Answer:

Least Common Multiple of 943 and 947 = 893021

Step 1: Find the prime factorization of 943

943 = 23 x 41

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 = 893021 = 23 x 41 x 947

Step 4: Therefore, the least common multiple of 943 and 947 is 893021.