Least Common Multiple of 5941 and 5948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5941 and 5948 the smallest integer that is 35337068 that is divisible by both numbers.

Least Common Multiple (LCM) of 5941 and 5948 is 35337068.

LCM(5941,5948) = 35337068

LCM of 5941 and 5948

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

LCM of:
and

Least Common Multiple of 5941 and 5948

LCM of 5941 and 5948 is 35337068

Least common multiple can be found by multiplying the highest exponent prime factors of 5941 and 5948. First we will calculate the prime factors of 5941 and 5948.

Prime Factorization of 5941


13 5941
457 457
1

Prime factors of 5941 are 13,457. Prime factorization of 5941 in exponential form is:

5941 = 131×4571

Prime Factorization of 5948


2 5948
2 2974
1487 1487
1

Prime factors of 5948 are 2,1487. Prime factorization of 5948 in exponential form is:

5948 = 22×14871

Now multiplying the highest exponent prime factors to calculate the LCM of 5941 and 5948.

LCM(5941,5948) = 22×131×4571×14871
LCM(5941,5948) = 35337068

Factors of 5941

List of positive integer factors of 5941 that divides 5941 without a remainder.

1, 13, 457, 5941

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1, 2, 4, 1487, 2974, 5948

Least Common Multiple of 5941 and 5948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5941 and 5948, than apply into the LCM equation.

GCF(5941,5948) = 1
LCM(5941,5948) = ( 5941 × 5948) / 1
LCM(5941,5948) = 35337068 / 1
LCM(5941,5948) = 35337068

Properties of LCM 5941 and 5948

(i) The LCM of 5948 and 5941 is associative

LCM of 5941 and 5948 = LCM of 5948 and 5941

Related Least Common Multiples of 5941

Related Least Common Multiples of 5948

Frequently Asked Questions on LCM of 5941 and 5948

1. What is the LCM of 5941 and 5948?

Answer: LCM of 5941 and 5948 is 35337068.

2. What are the Factors of 5941?

Answer: Factors of 5941 are 1, 13, 457, 5941. There are 4 integers that are factors of 5941. The greatest factor of 5941 is 5941.

3. What are the Factors of 5948?

Answer: Factors of 5948 are 1, 2, 4, 1487, 2974, 5948. There are 6 integers that are factors of 5948. The greatest factor of 5948 is 5948.

4. How to Find the LCM of 5941 and 5948?

Answer:

Least Common Multiple of 5941 and 5948 = 35337068

Step 1: Find the prime factorization of 5941

5941 = 13 x 457

Step 2: Find the prime factorization of 5948

5948 = 2 x 2 x 1487

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

LCM = 35337068 = 2 x 2 x 13 x 457 x 1487

Step 4: Therefore, the least common multiple of 5941 and 5948 is 35337068.