Least Common Multiple of 940 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 940 and 945 the smallest integer that is 177660 that is divisible by both numbers.

Least Common Multiple (LCM) of 940 and 945 is 177660.

LCM(940,945) = 177660

LCM of 940 and 945

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

LCM of:
and

Least Common Multiple of 940 and 945

LCM of 940 and 945 is 177660

Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 945. First we will calculate the prime factors of 940 and 945.

Prime Factorization of 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

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 940 and 945.

LCM(940,945) = 22×33×51×71×471
LCM(940,945) = 177660

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 940 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 940 and 945, than apply into the LCM equation.

GCF(940,945) = 5
LCM(940,945) = ( 940 × 945) / 5
LCM(940,945) = 888300 / 5
LCM(940,945) = 177660

Properties of LCM 940 and 945

(i) The LCM of 945 and 940 is associative

LCM of 940 and 945 = LCM of 945 and 940

Related Least Common Multiples of 940

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 940 and 945

1. What is the LCM of 940 and 945?

Answer: LCM of 940 and 945 is 177660.

2. What are the Factors of 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

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 940 and 945?

Answer:

Least Common Multiple of 940 and 945 = 177660

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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 = 177660 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 47

Step 4: Therefore, the least common multiple of 940 and 945 is 177660.