Least Common Multiple of 5957 and 5964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5957 and 5964 the smallest integer that is 5075364 that is divisible by both numbers.

Least Common Multiple (LCM) of 5957 and 5964 is 5075364.

LCM(5957,5964) = 5075364

LCM of 5957 and 5964

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

LCM of:
and

Least Common Multiple of 5957 and 5964

LCM of 5957 and 5964 is 5075364

Least common multiple can be found by multiplying the highest exponent prime factors of 5957 and 5964. First we will calculate the prime factors of 5957 and 5964.

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

Prime Factorization of 5964


2 5964
2 2982
3 1491
7 497
71 71
1

Prime factors of 5964 are 2, 3, 7,71. Prime factorization of 5964 in exponential form is:

5964 = 22×31×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5957 and 5964.

LCM(5957,5964) = 22×31×71×231×371×711
LCM(5957,5964) = 5075364

Factors of 5957

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

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

Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964

Least Common Multiple of 5957 and 5964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5957 and 5964, than apply into the LCM equation.

GCF(5957,5964) = 7
LCM(5957,5964) = ( 5957 × 5964) / 7
LCM(5957,5964) = 35527548 / 7
LCM(5957,5964) = 5075364

Properties of LCM 5957 and 5964

(i) The LCM of 5964 and 5957 is associative

LCM of 5957 and 5964 = LCM of 5964 and 5957

Related Least Common Multiples of 5957

Related Least Common Multiples of 5964

Frequently Asked Questions on LCM of 5957 and 5964

1. What is the LCM of 5957 and 5964?

Answer: LCM of 5957 and 5964 is 5075364.

2. 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.

3. What are the Factors of 5964?

Answer: Factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964. There are 24 integers that are factors of 5964. The greatest factor of 5964 is 5964.

4. How to Find the LCM of 5957 and 5964?

Answer:

Least Common Multiple of 5957 and 5964 = 5075364

Step 1: Find the prime factorization of 5957

5957 = 7 x 23 x 37

Step 2: Find the prime factorization of 5964

5964 = 2 x 2 x 3 x 7 x 71

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

LCM = 5075364 = 2 x 2 x 3 x 7 x 23 x 37 x 71

Step 4: Therefore, the least common multiple of 5957 and 5964 is 5075364.