Least Common Multiple of 943 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 943 and 944 the smallest integer that is 890192 that is divisible by both numbers.

Least Common Multiple (LCM) of 943 and 944 is 890192.

LCM(943,944) = 890192

LCM of 943 and 944

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

LCM of:
and

Least Common Multiple of 943 and 944

LCM of 943 and 944 is 890192

Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 944. First we will calculate the prime factors of 943 and 944.

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 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 943 and 944.

LCM(943,944) = 24×231×411×591
LCM(943,944) = 890192

Factors of 943

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

1, 23, 41, 943

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 943 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 943 and 944, than apply into the LCM equation.

GCF(943,944) = 1
LCM(943,944) = ( 943 × 944) / 1
LCM(943,944) = 890192 / 1
LCM(943,944) = 890192

Properties of LCM 943 and 944

(i) The LCM of 944 and 943 is associative

LCM of 943 and 944 = LCM of 944 and 943

Related Least Common Multiples of 943

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 943 and 944

1. What is the LCM of 943 and 944?

Answer: LCM of 943 and 944 is 890192.

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 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 943 and 944?

Answer:

Least Common Multiple of 943 and 944 = 890192

Step 1: Find the prime factorization of 943

943 = 23 x 41

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 = 890192 = 2 x 2 x 2 x 2 x 23 x 41 x 59

Step 4: Therefore, the least common multiple of 943 and 944 is 890192.