Least Common Multiple of 944 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 944 and 949 the smallest integer that is 895856 that is divisible by both numbers.

Least Common Multiple (LCM) of 944 and 949 is 895856.

LCM(944,949) = 895856

LCM of 944 and 949

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

LCM of:
and

Least Common Multiple of 944 and 949

LCM of 944 and 949 is 895856

Least common multiple can be found by multiplying the highest exponent prime factors of 944 and 949. First we will calculate the prime factors of 944 and 949.

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

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 944 and 949.

LCM(944,949) = 24×131×591×731
LCM(944,949) = 895856

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

Factors of 949

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

1, 13, 73, 949

Least Common Multiple of 944 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 944 and 949, than apply into the LCM equation.

GCF(944,949) = 1
LCM(944,949) = ( 944 × 949) / 1
LCM(944,949) = 895856 / 1
LCM(944,949) = 895856

Properties of LCM 944 and 949

(i) The LCM of 949 and 944 is associative

LCM of 944 and 949 = LCM of 949 and 944

Related Least Common Multiples of 944

Related Least Common Multiples of 949

Frequently Asked Questions on LCM of 944 and 949

1. What is the LCM of 944 and 949?

Answer: LCM of 944 and 949 is 895856.

2. 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.

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 944 and 949?

Answer:

Least Common Multiple of 944 and 949 = 895856

Step 1: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

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 = 895856 = 2 x 2 x 2 x 2 x 13 x 59 x 73

Step 4: Therefore, the least common multiple of 944 and 949 is 895856.