Least Common Multiple of 5956 and 5963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5956 and 5963 the smallest integer that is 35515628 that is divisible by both numbers.

Least Common Multiple (LCM) of 5956 and 5963 is 35515628.

LCM(5956,5963) = 35515628

LCM of 5956 and 5963

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

LCM of:
and

Least Common Multiple of 5956 and 5963

LCM of 5956 and 5963 is 35515628

Least common multiple can be found by multiplying the highest exponent prime factors of 5956 and 5963. First we will calculate the prime factors of 5956 and 5963.

Prime Factorization of 5956


2 5956
2 2978
1489 1489
1

Prime factors of 5956 are 2,1489. Prime factorization of 5956 in exponential form is:

5956 = 22×14891

Prime Factorization of 5963


67 5963
89 89
1

Prime factors of 5963 are 67,89. Prime factorization of 5963 in exponential form is:

5963 = 671×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5956 and 5963.

LCM(5956,5963) = 22×671×891×14891
LCM(5956,5963) = 35515628

Factors of 5956

List of positive integer factors of 5956 that divides 5956 without a remainder.

1, 2, 4, 1489, 2978, 5956

Factors of 5963

List of positive integer factors of 5963 that divides 5963 without a remainder.

1, 67, 89, 5963

Least Common Multiple of 5956 and 5963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5956 and 5963, than apply into the LCM equation.

GCF(5956,5963) = 1
LCM(5956,5963) = ( 5956 × 5963) / 1
LCM(5956,5963) = 35515628 / 1
LCM(5956,5963) = 35515628

Properties of LCM 5956 and 5963

(i) The LCM of 5963 and 5956 is associative

LCM of 5956 and 5963 = LCM of 5963 and 5956

Related Least Common Multiples of 5956

Related Least Common Multiples of 5963

Frequently Asked Questions on LCM of 5956 and 5963

1. What is the LCM of 5956 and 5963?

Answer: LCM of 5956 and 5963 is 35515628.

2. What are the Factors of 5956?

Answer: Factors of 5956 are 1, 2, 4, 1489, 2978, 5956. There are 6 integers that are factors of 5956. The greatest factor of 5956 is 5956.

3. What are the Factors of 5963?

Answer: Factors of 5963 are 1, 67, 89, 5963. There are 4 integers that are factors of 5963. The greatest factor of 5963 is 5963.

4. How to Find the LCM of 5956 and 5963?

Answer:

Least Common Multiple of 5956 and 5963 = 35515628

Step 1: Find the prime factorization of 5956

5956 = 2 x 2 x 1489

Step 2: Find the prime factorization of 5963

5963 = 67 x 89

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

LCM = 35515628 = 2 x 2 x 67 x 89 x 1489

Step 4: Therefore, the least common multiple of 5956 and 5963 is 35515628.