Least Common Multiple of 5953 and 5955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5953 and 5955 the smallest integer that is 35450115 that is divisible by both numbers.

Least Common Multiple (LCM) of 5953 and 5955 is 35450115.

LCM(5953,5955) = 35450115

LCM of 5953 and 5955

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

LCM of:
and

Least Common Multiple of 5953 and 5955

LCM of 5953 and 5955 is 35450115

Least common multiple can be found by multiplying the highest exponent prime factors of 5953 and 5955. First we will calculate the prime factors of 5953 and 5955.

Prime Factorization of 5953


5953 5953
1

Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:

5953 = 59531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5953 and 5955.

LCM(5953,5955) = 31×51×3971×59531
LCM(5953,5955) = 35450115

Factors of 5953

List of positive integer factors of 5953 that divides 5953 without a remainder.

1, 5953

Factors of 5955

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

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

Least Common Multiple of 5953 and 5955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5953 and 5955, than apply into the LCM equation.

GCF(5953,5955) = 1
LCM(5953,5955) = ( 5953 × 5955) / 1
LCM(5953,5955) = 35450115 / 1
LCM(5953,5955) = 35450115

Properties of LCM 5953 and 5955

(i) The LCM of 5955 and 5953 is associative

LCM of 5953 and 5955 = LCM of 5955 and 5953

Related Least Common Multiples of 5953

Related Least Common Multiples of 5955

Frequently Asked Questions on LCM of 5953 and 5955

1. What is the LCM of 5953 and 5955?

Answer: LCM of 5953 and 5955 is 35450115.

2. What are the Factors of 5953?

Answer: Factors of 5953 are 1, 5953. There are 2 integers that are factors of 5953. The greatest factor of 5953 is 5953.

3. 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.

4. How to Find the LCM of 5953 and 5955?

Answer:

Least Common Multiple of 5953 and 5955 = 35450115

Step 1: Find the prime factorization of 5953

5953 = 5953

Step 2: Find the prime factorization of 5955

5955 = 3 x 5 x 397

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

LCM = 35450115 = 3 x 5 x 397 x 5953

Step 4: Therefore, the least common multiple of 5953 and 5955 is 35450115.