Least Common Multiple of 5960 and 5962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5960 and 5962 the smallest integer that is 17766760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5960 and 5962 is 17766760.

LCM(5960,5962) = 17766760

LCM of 5960 and 5962

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

LCM of:
and

Least Common Multiple of 5960 and 5962

LCM of 5960 and 5962 is 17766760

Least common multiple can be found by multiplying the highest exponent prime factors of 5960 and 5962. First we will calculate the prime factors of 5960 and 5962.

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

Prime Factorization of 5962


2 5962
11 2981
271 271
1

Prime factors of 5962 are 2, 11,271. Prime factorization of 5962 in exponential form is:

5962 = 21×111×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 5960 and 5962.

LCM(5960,5962) = 23×51×111×1491×2711
LCM(5960,5962) = 17766760

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

Factors of 5962

List of positive integer factors of 5962 that divides 5962 without a remainder.

1, 2, 11, 22, 271, 542, 2981, 5962

Least Common Multiple of 5960 and 5962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5960 and 5962, than apply into the LCM equation.

GCF(5960,5962) = 2
LCM(5960,5962) = ( 5960 × 5962) / 2
LCM(5960,5962) = 35533520 / 2
LCM(5960,5962) = 17766760

Properties of LCM 5960 and 5962

(i) The LCM of 5962 and 5960 is associative

LCM of 5960 and 5962 = LCM of 5962 and 5960

Related Least Common Multiples of 5960

Related Least Common Multiples of 5962

Frequently Asked Questions on LCM of 5960 and 5962

1. What is the LCM of 5960 and 5962?

Answer: LCM of 5960 and 5962 is 17766760.

2. 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.

3. What are the Factors of 5962?

Answer: Factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962. There are 8 integers that are factors of 5962. The greatest factor of 5962 is 5962.

4. How to Find the LCM of 5960 and 5962?

Answer:

Least Common Multiple of 5960 and 5962 = 17766760

Step 1: Find the prime factorization of 5960

5960 = 2 x 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 5962

5962 = 2 x 11 x 271

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

LCM = 17766760 = 2 x 2 x 2 x 5 x 11 x 149 x 271

Step 4: Therefore, the least common multiple of 5960 and 5962 is 17766760.