Least Common Multiple of 941 and 946

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 946 the smallest integer that is 890186 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 946 is 890186.

LCM(941,946) = 890186

LCM of 941 and 946

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

LCM of:
and

Least Common Multiple of 941 and 946

LCM of 941 and 946 is 890186

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 946. First we will calculate the prime factors of 941 and 946.

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 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 941 and 946.

LCM(941,946) = 21×111×431×9411
LCM(941,946) = 890186

Factors of 941

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

1, 941

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Least Common Multiple of 941 and 946 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 946, than apply into the LCM equation.

GCF(941,946) = 1
LCM(941,946) = ( 941 × 946) / 1
LCM(941,946) = 890186 / 1
LCM(941,946) = 890186

Properties of LCM 941 and 946

(i) The LCM of 946 and 941 is associative

LCM of 941 and 946 = LCM of 946 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 946

Frequently Asked Questions on LCM of 941 and 946

1. What is the LCM of 941 and 946?

Answer: LCM of 941 and 946 is 890186.

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 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

4. How to Find the LCM of 941 and 946?

Answer:

Least Common Multiple of 941 and 946 = 890186

Step 1: Find the prime factorization of 941

941 = 941

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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

LCM = 890186 = 2 x 11 x 43 x 941

Step 4: Therefore, the least common multiple of 941 and 946 is 890186.