Least Common Multiple of 5952 and 5957

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 5957 the smallest integer that is 35456064 that is divisible by both numbers.

Least Common Multiple (LCM) of 5952 and 5957 is 35456064.

LCM(5952,5957) = 35456064

LCM of 5952 and 5957

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

LCM of:
and

Least Common Multiple of 5952 and 5957

LCM of 5952 and 5957 is 35456064

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5957. First we will calculate the prime factors of 5952 and 5957.

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 5957


7 5957
23 851
37 37
1

Prime factors of 5957 are 7, 23,37. Prime factorization of 5957 in exponential form is:

5957 = 71×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5952 and 5957.

LCM(5952,5957) = 26×31×71×231×311×371
LCM(5952,5957) = 35456064

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 5957

List of positive integer factors of 5957 that divides 5957 without a remainder.

1, 7, 23, 37, 161, 259, 851, 5957

Least Common Multiple of 5952 and 5957 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 5957, than apply into the LCM equation.

GCF(5952,5957) = 1
LCM(5952,5957) = ( 5952 × 5957) / 1
LCM(5952,5957) = 35456064 / 1
LCM(5952,5957) = 35456064

Properties of LCM 5952 and 5957

(i) The LCM of 5957 and 5952 is associative

LCM of 5952 and 5957 = LCM of 5957 and 5952

Related Least Common Multiples of 5952

Related Least Common Multiples of 5957

Frequently Asked Questions on LCM of 5952 and 5957

1. What is the LCM of 5952 and 5957?

Answer: LCM of 5952 and 5957 is 35456064.

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 5957?

Answer: Factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957. There are 8 integers that are factors of 5957. The greatest factor of 5957 is 5957.

4. How to Find the LCM of 5952 and 5957?

Answer:

Least Common Multiple of 5952 and 5957 = 35456064

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 5957

5957 = 7 x 23 x 37

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

LCM = 35456064 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 23 x 31 x 37

Step 4: Therefore, the least common multiple of 5952 and 5957 is 35456064.