Least Common Multiple of 5956 and 5961

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 5961 the smallest integer that is 35503716 that is divisible by both numbers.

Least Common Multiple (LCM) of 5956 and 5961 is 35503716.

LCM(5956,5961) = 35503716

LCM of 5956 and 5961

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

LCM of:
and

Least Common Multiple of 5956 and 5961

LCM of 5956 and 5961 is 35503716

Least common multiple can be found by multiplying the highest exponent prime factors of 5956 and 5961. First we will calculate the prime factors of 5956 and 5961.

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 5961


3 5961
1987 1987
1

Prime factors of 5961 are 3,1987. Prime factorization of 5961 in exponential form is:

5961 = 31×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 5956 and 5961.

LCM(5956,5961) = 22×31×14891×19871
LCM(5956,5961) = 35503716

Factors of 5956

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

1, 2, 4, 1489, 2978, 5956

Factors of 5961

List of positive integer factors of 5961 that divides 5961 without a remainder.

1, 3, 1987, 5961

Least Common Multiple of 5956 and 5961 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 5961, than apply into the LCM equation.

GCF(5956,5961) = 1
LCM(5956,5961) = ( 5956 × 5961) / 1
LCM(5956,5961) = 35503716 / 1
LCM(5956,5961) = 35503716

Properties of LCM 5956 and 5961

(i) The LCM of 5961 and 5956 is associative

LCM of 5956 and 5961 = LCM of 5961 and 5956

Related Least Common Multiples of 5956

Related Least Common Multiples of 5961

Frequently Asked Questions on LCM of 5956 and 5961

1. What is the LCM of 5956 and 5961?

Answer: LCM of 5956 and 5961 is 35503716.

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 5961?

Answer: Factors of 5961 are 1, 3, 1987, 5961. There are 4 integers that are factors of 5961. The greatest factor of 5961 is 5961.

4. How to Find the LCM of 5956 and 5961?

Answer:

Least Common Multiple of 5956 and 5961 = 35503716

Step 1: Find the prime factorization of 5956

5956 = 2 x 2 x 1489

Step 2: Find the prime factorization of 5961

5961 = 3 x 1987

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

LCM = 35503716 = 2 x 2 x 3 x 1489 x 1987

Step 4: Therefore, the least common multiple of 5956 and 5961 is 35503716.