Least Common Multiple of 941 and 945

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 945 the smallest integer that is 889245 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 945 is 889245.

LCM(941,945) = 889245

LCM of 941 and 945

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

LCM of:
and

Least Common Multiple of 941 and 945

LCM of 941 and 945 is 889245

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 945. First we will calculate the prime factors of 941 and 945.

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 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3, 5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 941 and 945.

LCM(941,945) = 33×51×71×9411
LCM(941,945) = 889245

Factors of 941

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

1, 941

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Least Common Multiple of 941 and 945 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 945, than apply into the LCM equation.

GCF(941,945) = 1
LCM(941,945) = ( 941 × 945) / 1
LCM(941,945) = 889245 / 1
LCM(941,945) = 889245

Properties of LCM 941 and 945

(i) The LCM of 945 and 941 is associative

LCM of 941 and 945 = LCM of 945 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 941 and 945

1. What is the LCM of 941 and 945?

Answer: LCM of 941 and 945 is 889245.

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 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

4. How to Find the LCM of 941 and 945?

Answer:

Least Common Multiple of 941 and 945 = 889245

Step 1: Find the prime factorization of 941

941 = 941

Step 2: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

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

LCM = 889245 = 3 x 3 x 3 x 5 x 7 x 941

Step 4: Therefore, the least common multiple of 941 and 945 is 889245.