Least Common Multiple of 5958 and 5965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5958 and 5965 the smallest integer that is 35539470 that is divisible by both numbers.

Least Common Multiple (LCM) of 5958 and 5965 is 35539470.

LCM(5958,5965) = 35539470

LCM of 5958 and 5965

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

LCM of:
and

Least Common Multiple of 5958 and 5965

LCM of 5958 and 5965 is 35539470

Least common multiple can be found by multiplying the highest exponent prime factors of 5958 and 5965. First we will calculate the prime factors of 5958 and 5965.

Prime Factorization of 5958


2 5958
3 2979
3 993
331 331
1

Prime factors of 5958 are 2, 3,331. Prime factorization of 5958 in exponential form is:

5958 = 21×32×3311

Prime Factorization of 5965


5 5965
1193 1193
1

Prime factors of 5965 are 5,1193. Prime factorization of 5965 in exponential form is:

5965 = 51×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 5958 and 5965.

LCM(5958,5965) = 21×32×51×3311×11931
LCM(5958,5965) = 35539470

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958

Factors of 5965

List of positive integer factors of 5965 that divides 5965 without a remainder.

1, 5, 1193, 5965

Least Common Multiple of 5958 and 5965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5958 and 5965, than apply into the LCM equation.

GCF(5958,5965) = 1
LCM(5958,5965) = ( 5958 × 5965) / 1
LCM(5958,5965) = 35539470 / 1
LCM(5958,5965) = 35539470

Properties of LCM 5958 and 5965

(i) The LCM of 5965 and 5958 is associative

LCM of 5958 and 5965 = LCM of 5965 and 5958

Related Least Common Multiples of 5958

Related Least Common Multiples of 5965

Frequently Asked Questions on LCM of 5958 and 5965

1. What is the LCM of 5958 and 5965?

Answer: LCM of 5958 and 5965 is 35539470.

2. What are the Factors of 5958?

Answer: Factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. There are 12 integers that are factors of 5958. The greatest factor of 5958 is 5958.

3. What are the Factors of 5965?

Answer: Factors of 5965 are 1, 5, 1193, 5965. There are 4 integers that are factors of 5965. The greatest factor of 5965 is 5965.

4. How to Find the LCM of 5958 and 5965?

Answer:

Least Common Multiple of 5958 and 5965 = 35539470

Step 1: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

Step 2: Find the prime factorization of 5965

5965 = 5 x 1193

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

LCM = 35539470 = 2 x 3 x 3 x 5 x 331 x 1193

Step 4: Therefore, the least common multiple of 5958 and 5965 is 35539470.