Least Common Multiple of 937 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 937 and 945 the smallest integer that is 885465 that is divisible by both numbers.

Least Common Multiple (LCM) of 937 and 945 is 885465.

LCM(937,945) = 885465

LCM of 937 and 945

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

LCM of:
and

Least Common Multiple of 937 and 945

LCM of 937 and 945 is 885465

Least common multiple can be found by multiplying the highest exponent prime factors of 937 and 945. First we will calculate the prime factors of 937 and 945.

Prime Factorization of 937


937 937
1

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

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 937 and 945.

LCM(937,945) = 33×51×71×9371
LCM(937,945) = 885465

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1, 937

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 937 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 937 and 945, than apply into the LCM equation.

GCF(937,945) = 1
LCM(937,945) = ( 937 × 945) / 1
LCM(937,945) = 885465 / 1
LCM(937,945) = 885465

Properties of LCM 937 and 945

(i) The LCM of 945 and 937 is associative

LCM of 937 and 945 = LCM of 945 and 937

Related Least Common Multiples of 937

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 937 and 945

1. What is the LCM of 937 and 945?

Answer: LCM of 937 and 945 is 885465.

2. What are the Factors of 937?

Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.

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 937 and 945?

Answer:

Least Common Multiple of 937 and 945 = 885465

Step 1: Find the prime factorization of 937

937 = 937

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 = 885465 = 3 x 3 x 3 x 5 x 7 x 937

Step 4: Therefore, the least common multiple of 937 and 945 is 885465.