Least Common Multiple of 941 and 948

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 948 the smallest integer that is 892068 that is divisible by both numbers.

Least Common Multiple (LCM) of 941 and 948 is 892068.

LCM(941,948) = 892068

LCM of 941 and 948

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

LCM of:
and

Least Common Multiple of 941 and 948

LCM of 941 and 948 is 892068

Least common multiple can be found by multiplying the highest exponent prime factors of 941 and 948. First we will calculate the prime factors of 941 and 948.

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 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 941 and 948.

LCM(941,948) = 22×31×791×9411
LCM(941,948) = 892068

Factors of 941

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

1, 941

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Least Common Multiple of 941 and 948 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 948, than apply into the LCM equation.

GCF(941,948) = 1
LCM(941,948) = ( 941 × 948) / 1
LCM(941,948) = 892068 / 1
LCM(941,948) = 892068

Properties of LCM 941 and 948

(i) The LCM of 948 and 941 is associative

LCM of 941 and 948 = LCM of 948 and 941

Related Least Common Multiples of 941

Related Least Common Multiples of 948

Frequently Asked Questions on LCM of 941 and 948

1. What is the LCM of 941 and 948?

Answer: LCM of 941 and 948 is 892068.

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 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

4. How to Find the LCM of 941 and 948?

Answer:

Least Common Multiple of 941 and 948 = 892068

Step 1: Find the prime factorization of 941

941 = 941

Step 2: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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

LCM = 892068 = 2 x 2 x 3 x 79 x 941

Step 4: Therefore, the least common multiple of 941 and 948 is 892068.