Least Common Multiple of 5948 and 5954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5948 and 5954 the smallest integer that is 17707196 that is divisible by both numbers.

Least Common Multiple (LCM) of 5948 and 5954 is 17707196.

LCM(5948,5954) = 17707196

LCM of 5948 and 5954

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

LCM of:
and

Least Common Multiple of 5948 and 5954

LCM of 5948 and 5954 is 17707196

Least common multiple can be found by multiplying the highest exponent prime factors of 5948 and 5954. First we will calculate the prime factors of 5948 and 5954.

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

Prime Factorization of 5954


2 5954
13 2977
229 229
1

Prime factors of 5954 are 2, 13,229. Prime factorization of 5954 in exponential form is:

5954 = 21×131×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5948 and 5954.

LCM(5948,5954) = 22×131×2291×14871
LCM(5948,5954) = 17707196

Factors of 5948

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

1, 2, 4, 1487, 2974, 5948

Factors of 5954

List of positive integer factors of 5954 that divides 5954 without a remainder.

1, 2, 13, 26, 229, 458, 2977, 5954

Least Common Multiple of 5948 and 5954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5948 and 5954, than apply into the LCM equation.

GCF(5948,5954) = 2
LCM(5948,5954) = ( 5948 × 5954) / 2
LCM(5948,5954) = 35414392 / 2
LCM(5948,5954) = 17707196

Properties of LCM 5948 and 5954

(i) The LCM of 5954 and 5948 is associative

LCM of 5948 and 5954 = LCM of 5954 and 5948

Related Least Common Multiples of 5948

Related Least Common Multiples of 5954

Frequently Asked Questions on LCM of 5948 and 5954

1. What is the LCM of 5948 and 5954?

Answer: LCM of 5948 and 5954 is 17707196.

2. 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.

3. What are the Factors of 5954?

Answer: Factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954. There are 8 integers that are factors of 5954. The greatest factor of 5954 is 5954.

4. How to Find the LCM of 5948 and 5954?

Answer:

Least Common Multiple of 5948 and 5954 = 17707196

Step 1: Find the prime factorization of 5948

5948 = 2 x 2 x 1487

Step 2: Find the prime factorization of 5954

5954 = 2 x 13 x 229

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

LCM = 17707196 = 2 x 2 x 13 x 229 x 1487

Step 4: Therefore, the least common multiple of 5948 and 5954 is 17707196.