Least Common Multiple of 940 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 940 and 944 the smallest integer that is 221840 that is divisible by both numbers.

Least Common Multiple (LCM) of 940 and 944 is 221840.

LCM(940,944) = 221840

LCM of 940 and 944

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

LCM of:
and

Least Common Multiple of 940 and 944

LCM of 940 and 944 is 221840

Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 944. First we will calculate the prime factors of 940 and 944.

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 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 940 and 944.

LCM(940,944) = 24×51×471×591
LCM(940,944) = 221840

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 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 940 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 940 and 944, than apply into the LCM equation.

GCF(940,944) = 4
LCM(940,944) = ( 940 × 944) / 4
LCM(940,944) = 887360 / 4
LCM(940,944) = 221840

Properties of LCM 940 and 944

(i) The LCM of 944 and 940 is associative

LCM of 940 and 944 = LCM of 944 and 940

Related Least Common Multiples of 940

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 940 and 944

1. What is the LCM of 940 and 944?

Answer: LCM of 940 and 944 is 221840.

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 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 940 and 944?

Answer:

Least Common Multiple of 940 and 944 = 221840

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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 = 221840 = 2 x 2 x 2 x 2 x 5 x 47 x 59

Step 4: Therefore, the least common multiple of 940 and 944 is 221840.