Least Common Multiple of 944 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 944 and 945 the smallest integer that is 892080 that is divisible by both numbers.

Least Common Multiple (LCM) of 944 and 945 is 892080.

LCM(944,945) = 892080

LCM of 944 and 945

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

LCM of:
and

Least Common Multiple of 944 and 945

LCM of 944 and 945 is 892080

Least common multiple can be found by multiplying the highest exponent prime factors of 944 and 945. First we will calculate the prime factors of 944 and 945.

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 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 944 and 945.

LCM(944,945) = 24×33×51×71×591
LCM(944,945) = 892080

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 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 944 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 944 and 945, than apply into the LCM equation.

GCF(944,945) = 1
LCM(944,945) = ( 944 × 945) / 1
LCM(944,945) = 892080 / 1
LCM(944,945) = 892080

Properties of LCM 944 and 945

(i) The LCM of 945 and 944 is associative

LCM of 944 and 945 = LCM of 945 and 944

Related Least Common Multiples of 944

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 944 and 945

1. What is the LCM of 944 and 945?

Answer: LCM of 944 and 945 is 892080.

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 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 944 and 945?

Answer:

Least Common Multiple of 944 and 945 = 892080

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 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 = 892080 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 944 and 945 is 892080.