Least Common Multiple of 941 and 949

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 949 the smallest integer that is 893009 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 949 is 893009.

LCM(941,949) = 893009

LCM of 941 and 949

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

LCM of:
and

Least Common Multiple of 941 and 949

LCM of 941 and 949 is 893009

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 949. First we will calculate the prime factors of 941 and 949.

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 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 941 and 949.

LCM(941,949) = 131×731×9411
LCM(941,949) = 893009

Factors of 941

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

1, 941

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Least Common Multiple of 941 and 949 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 949, than apply into the LCM equation.

GCF(941,949) = 1
LCM(941,949) = ( 941 × 949) / 1
LCM(941,949) = 893009 / 1
LCM(941,949) = 893009

Properties of LCM 941 and 949

(i) The LCM of 949 and 941 is associative

LCM of 941 and 949 = LCM of 949 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 949

Frequently Asked Questions on LCM of 941 and 949

1. What is the LCM of 941 and 949?

Answer: LCM of 941 and 949 is 893009.

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 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

4. How to Find the LCM of 941 and 949?

Answer:

Least Common Multiple of 941 and 949 = 893009

Step 1: Find the prime factorization of 941

941 = 941

Step 2: Find the prime factorization of 949

949 = 13 x 73

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

LCM = 893009 = 13 x 73 x 941

Step 4: Therefore, the least common multiple of 941 and 949 is 893009.