Least Common Multiple of 5953 and 5960

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 5960 the smallest integer that is 35479880 that is divisible by both numbers.

Least Common Multiple (LCM) of 5953 and 5960 is 35479880.

LCM(5953,5960) = 35479880

LCM of 5953 and 5960

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

LCM of:
and

Least Common Multiple of 5953 and 5960

LCM of 5953 and 5960 is 35479880

Least common multiple can be found by multiplying the highest exponent prime factors of 5953 and 5960. First we will calculate the prime factors of 5953 and 5960.

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 5960


2 5960
2 2980
2 1490
5 745
149 149
1

Prime factors of 5960 are 2, 5,149. Prime factorization of 5960 in exponential form is:

5960 = 23×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5953 and 5960.

LCM(5953,5960) = 23×51×1491×59531
LCM(5953,5960) = 35479880

Factors of 5953

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

1, 5953

Factors of 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960

Least Common Multiple of 5953 and 5960 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 5960, than apply into the LCM equation.

GCF(5953,5960) = 1
LCM(5953,5960) = ( 5953 × 5960) / 1
LCM(5953,5960) = 35479880 / 1
LCM(5953,5960) = 35479880

Properties of LCM 5953 and 5960

(i) The LCM of 5960 and 5953 is associative

LCM of 5953 and 5960 = LCM of 5960 and 5953

Related Least Common Multiples of 5953

Related Least Common Multiples of 5960

Frequently Asked Questions on LCM of 5953 and 5960

1. What is the LCM of 5953 and 5960?

Answer: LCM of 5953 and 5960 is 35479880.

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 5960?

Answer: Factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960. There are 16 integers that are factors of 5960. The greatest factor of 5960 is 5960.

4. How to Find the LCM of 5953 and 5960?

Answer:

Least Common Multiple of 5953 and 5960 = 35479880

Step 1: Find the prime factorization of 5953

5953 = 5953

Step 2: Find the prime factorization of 5960

5960 = 2 x 2 x 2 x 5 x 149

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

LCM = 35479880 = 2 x 2 x 2 x 5 x 149 x 5953

Step 4: Therefore, the least common multiple of 5953 and 5960 is 35479880.