Least Common Multiple of 941 and 944

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 944 the smallest integer that is 888304 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 944 is 888304.

LCM(941,944) = 888304

LCM of 941 and 944

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

LCM of:
and

Least Common Multiple of 941 and 944

LCM of 941 and 944 is 888304

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 944. First we will calculate the prime factors of 941 and 944.

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 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

Now multiplying the highest exponent prime factors to calculate the LCM of 941 and 944.

LCM(941,944) = 24×591×9411
LCM(941,944) = 888304

Factors of 941

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

1, 941

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Least Common Multiple of 941 and 944 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 944, than apply into the LCM equation.

GCF(941,944) = 1
LCM(941,944) = ( 941 × 944) / 1
LCM(941,944) = 888304 / 1
LCM(941,944) = 888304

Properties of LCM 941 and 944

(i) The LCM of 944 and 941 is associative

LCM of 941 and 944 = LCM of 944 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 941 and 944

1. What is the LCM of 941 and 944?

Answer: LCM of 941 and 944 is 888304.

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 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

4. How to Find the LCM of 941 and 944?

Answer:

Least Common Multiple of 941 and 944 = 888304

Step 1: Find the prime factorization of 941

941 = 941

Step 2: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

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

LCM = 888304 = 2 x 2 x 2 x 2 x 59 x 941

Step 4: Therefore, the least common multiple of 941 and 944 is 888304.