Least Common Multiple of 941 and 942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 941 and 942 the smallest integer that is 886422 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 942 is 886422.

LCM(941,942) = 886422

LCM of 941 and 942

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

LCM of:
and

Least Common Multiple of 941 and 942

LCM of 941 and 942 is 886422

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 942. First we will calculate the prime factors of 941 and 942.

Prime Factorization of 941


941 941
1

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

941 = 9411

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 941 and 942.

LCM(941,942) = 21×31×1571×9411
LCM(941,942) = 886422

Factors of 941

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

1, 941

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Least Common Multiple of 941 and 942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 941 and 942, than apply into the LCM equation.

GCF(941,942) = 1
LCM(941,942) = ( 941 × 942) / 1
LCM(941,942) = 886422 / 1
LCM(941,942) = 886422

Properties of LCM 941 and 942

(i) The LCM of 942 and 941 is associative

LCM of 941 and 942 = LCM of 942 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 942

Frequently Asked Questions on LCM of 941 and 942

1. What is the LCM of 941 and 942?

Answer: LCM of 941 and 942 is 886422.

2. 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.

3. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

4. How to Find the LCM of 941 and 942?

Answer:

Least Common Multiple of 941 and 942 = 886422

Step 1: Find the prime factorization of 941

941 = 941

Step 2: Find the prime factorization of 942

942 = 2 x 3 x 157

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

LCM = 886422 = 2 x 3 x 157 x 941

Step 4: Therefore, the least common multiple of 941 and 942 is 886422.