Least Common Multiple of 5947 and 5952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5947 and 5952 the smallest integer that is 35396544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5947 and 5952 is 35396544.

LCM(5947,5952) = 35396544

LCM of 5947 and 5952

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

LCM of:
and

Least Common Multiple of 5947 and 5952

LCM of 5947 and 5952 is 35396544

Least common multiple can be found by multiplying the highest exponent prime factors of 5947 and 5952. First we will calculate the prime factors of 5947 and 5952.

Prime Factorization of 5947


19 5947
313 313
1

Prime factors of 5947 are 19,313. Prime factorization of 5947 in exponential form is:

5947 = 191×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5947 and 5952.

LCM(5947,5952) = 26×31×191×311×3131
LCM(5947,5952) = 35396544

Factors of 5947

List of positive integer factors of 5947 that divides 5947 without a remainder.

1, 19, 313, 5947

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

Least Common Multiple of 5947 and 5952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5947 and 5952, than apply into the LCM equation.

GCF(5947,5952) = 1
LCM(5947,5952) = ( 5947 × 5952) / 1
LCM(5947,5952) = 35396544 / 1
LCM(5947,5952) = 35396544

Properties of LCM 5947 and 5952

(i) The LCM of 5952 and 5947 is associative

LCM of 5947 and 5952 = LCM of 5952 and 5947

Related Least Common Multiples of 5947

Related Least Common Multiples of 5952

Frequently Asked Questions on LCM of 5947 and 5952

1. What is the LCM of 5947 and 5952?

Answer: LCM of 5947 and 5952 is 35396544.

2. What are the Factors of 5947?

Answer: Factors of 5947 are 1, 19, 313, 5947. There are 4 integers that are factors of 5947. The greatest factor of 5947 is 5947.

3. 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.

4. How to Find the LCM of 5947 and 5952?

Answer:

Least Common Multiple of 5947 and 5952 = 35396544

Step 1: Find the prime factorization of 5947

5947 = 19 x 313

Step 2: Find the prime factorization of 5952

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

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

LCM = 35396544 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 31 x 313

Step 4: Therefore, the least common multiple of 5947 and 5952 is 35396544.