Least Common Multiple of 5953 and 5958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5953 and 5958 the smallest integer that is 35467974 that is divisible by both numbers.

Least Common Multiple (LCM) of 5953 and 5958 is 35467974.

LCM(5953,5958) = 35467974

LCM of 5953 and 5958

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

LCM of:
and

Least Common Multiple of 5953 and 5958

LCM of 5953 and 5958 is 35467974

Least common multiple can be found by multiplying the highest exponent prime factors of 5953 and 5958. First we will calculate the prime factors of 5953 and 5958.

Prime Factorization of 5953


5953 5953
1

Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:

5953 = 59531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5953 and 5958.

LCM(5953,5958) = 21×32×3311×59531
LCM(5953,5958) = 35467974

Factors of 5953

List of positive integer factors of 5953 that divides 5953 without a remainder.

1, 5953

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

Least Common Multiple of 5953 and 5958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5953 and 5958, than apply into the LCM equation.

GCF(5953,5958) = 1
LCM(5953,5958) = ( 5953 × 5958) / 1
LCM(5953,5958) = 35467974 / 1
LCM(5953,5958) = 35467974

Properties of LCM 5953 and 5958

(i) The LCM of 5958 and 5953 is associative

LCM of 5953 and 5958 = LCM of 5958 and 5953

Related Least Common Multiples of 5953

Related Least Common Multiples of 5958

Frequently Asked Questions on LCM of 5953 and 5958

1. What is the LCM of 5953 and 5958?

Answer: LCM of 5953 and 5958 is 35467974.

2. What are the Factors of 5953?

Answer: Factors of 5953 are 1, 5953. There are 2 integers that are factors of 5953. The greatest factor of 5953 is 5953.

3. 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.

4. How to Find the LCM of 5953 and 5958?

Answer:

Least Common Multiple of 5953 and 5958 = 35467974

Step 1: Find the prime factorization of 5953

5953 = 5953

Step 2: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

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

LCM = 35467974 = 2 x 3 x 3 x 331 x 5953

Step 4: Therefore, the least common multiple of 5953 and 5958 is 35467974.