Least Common Multiple of 940 and 941

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 941 the smallest integer that is 884540 that is divisible by both numbers.

Least Common Multiple (LCM) of 940 and 941 is 884540.

LCM(940,941) = 884540

LCM of 940 and 941

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

LCM of:
and

Least Common Multiple of 940 and 941

LCM of 940 and 941 is 884540

Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 941. First we will calculate the prime factors of 940 and 941.

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 941


941 941
1

Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:

941 = 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 941.

LCM(940,941) = 22×51×471×9411
LCM(940,941) = 884540

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 941

List of positive integer factors of 941 that divides 941 without a remainder.

1, 941

Least Common Multiple of 940 and 941 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 941, than apply into the LCM equation.

GCF(940,941) = 1
LCM(940,941) = ( 940 × 941) / 1
LCM(940,941) = 884540 / 1
LCM(940,941) = 884540

Properties of LCM 940 and 941

(i) The LCM of 941 and 940 is associative

LCM of 940 and 941 = LCM of 941 and 940

Related Least Common Multiples of 940

Related Least Common Multiples of 941

Frequently Asked Questions on LCM of 940 and 941

1. What is the LCM of 940 and 941?

Answer: LCM of 940 and 941 is 884540.

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 941?

Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.

4. How to Find the LCM of 940 and 941?

Answer:

Least Common Multiple of 940 and 941 = 884540

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 941

941 = 941

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 884540 = 2 x 2 x 5 x 47 x 941

Step 4: Therefore, the least common multiple of 940 and 941 is 884540.