Least Common Multiple of 941 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 941 and 947 the smallest integer that is 891127 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 947 is 891127.

LCM(941,947) = 891127

LCM of 941 and 947

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

LCM of:
and

Least Common Multiple of 941 and 947

LCM of 941 and 947 is 891127

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 947. First we will calculate the prime factors of 941 and 947.

Prime Factorization of 941


941 941
1

Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:

941 = 9411

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 941 and 947.

LCM(941,947) = 9411×9471
LCM(941,947) = 891127

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1, 941

Factors of 947

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

1, 947

Least Common Multiple of 941 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 941 and 947, than apply into the LCM equation.

GCF(941,947) = 1
LCM(941,947) = ( 941 × 947) / 1
LCM(941,947) = 891127 / 1
LCM(941,947) = 891127

Properties of LCM 941 and 947

(i) The LCM of 947 and 941 is associative

LCM of 941 and 947 = LCM of 947 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 947

Frequently Asked Questions on LCM of 941 and 947

1. What is the LCM of 941 and 947?

Answer: LCM of 941 and 947 is 891127.

2. What are the Factors of 941?

Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.

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 941 and 947?

Answer:

Least Common Multiple of 941 and 947 = 891127

Step 1: Find the prime factorization of 941

941 = 941

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 = 891127 = 941 x 947

Step 4: Therefore, the least common multiple of 941 and 947 is 891127.