Least Common Multiple of 5952 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 5952 and 5958 the smallest integer that is 5910336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5952 and 5958 is 5910336.

LCM(5952,5958) = 5910336

LCM of 5952 and 5958

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

LCM of:
and

Least Common Multiple of 5952 and 5958

LCM of 5952 and 5958 is 5910336

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5958. First we will calculate the prime factors of 5952 and 5958.

Prime Factorization of 5952


2 5952
2 2976
2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 5952 are 2, 3,31. Prime factorization of 5952 in exponential form is:

5952 = 26×31×311

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 5952 and 5958.

LCM(5952,5958) = 26×32×311×3311
LCM(5952,5958) = 5910336

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952

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 5952 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 5952 and 5958, than apply into the LCM equation.

GCF(5952,5958) = 6
LCM(5952,5958) = ( 5952 × 5958) / 6
LCM(5952,5958) = 35462016 / 6
LCM(5952,5958) = 5910336

Properties of LCM 5952 and 5958

(i) The LCM of 5958 and 5952 is associative

LCM of 5952 and 5958 = LCM of 5958 and 5952

Related Least Common Multiples of 5952

Related Least Common Multiples of 5958

Frequently Asked Questions on LCM of 5952 and 5958

1. What is the LCM of 5952 and 5958?

Answer: LCM of 5952 and 5958 is 5910336.

2. What are the Factors of 5952?

Answer: Factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952. There are 28 integers that are factors of 5952. The greatest factor of 5952 is 5952.

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 5952 and 5958?

Answer:

Least Common Multiple of 5952 and 5958 = 5910336

Step 1: Find the prime factorization of 5952

5952 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31

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 = 5910336 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31 x 331

Step 4: Therefore, the least common multiple of 5952 and 5958 is 5910336.