Least Common Multiple of 5955 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 5955 and 5961 the smallest integer that is 11832585 that is divisible by both numbers.

Least Common Multiple (LCM) of 5955 and 5961 is 11832585.

LCM(5955,5961) = 11832585

LCM of 5955 and 5961

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

LCM of:
and

Least Common Multiple of 5955 and 5961

LCM of 5955 and 5961 is 11832585

Least common multiple can be found by multiplying the highest exponent prime factors of 5955 and 5961. First we will calculate the prime factors of 5955 and 5961.

Prime Factorization of 5955


3 5955
5 1985
397 397
1

Prime factors of 5955 are 3, 5,397. Prime factorization of 5955 in exponential form is:

5955 = 31×51×3971

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 5955 and 5961.

LCM(5955,5961) = 31×51×3971×19871
LCM(5955,5961) = 11832585

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1, 3, 5, 15, 397, 1191, 1985, 5955

Factors of 5961

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

1, 3, 1987, 5961

Least Common Multiple of 5955 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 5955 and 5961, than apply into the LCM equation.

GCF(5955,5961) = 3
LCM(5955,5961) = ( 5955 × 5961) / 3
LCM(5955,5961) = 35497755 / 3
LCM(5955,5961) = 11832585

Properties of LCM 5955 and 5961

(i) The LCM of 5961 and 5955 is associative

LCM of 5955 and 5961 = LCM of 5961 and 5955

Related Least Common Multiples of 5955

Related Least Common Multiples of 5961

Frequently Asked Questions on LCM of 5955 and 5961

1. What is the LCM of 5955 and 5961?

Answer: LCM of 5955 and 5961 is 11832585.

2. What are the Factors of 5955?

Answer: Factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955. There are 8 integers that are factors of 5955. The greatest factor of 5955 is 5955.

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 5955 and 5961?

Answer:

Least Common Multiple of 5955 and 5961 = 11832585

Step 1: Find the prime factorization of 5955

5955 = 3 x 5 x 397

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 = 11832585 = 3 x 5 x 397 x 1987

Step 4: Therefore, the least common multiple of 5955 and 5961 is 11832585.