Least Common Multiple of 3960 and 3965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3960 and 3965 the smallest integer that is 3140280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3960 and 3965 is 3140280.

LCM(3960,3965) = 3140280

LCM of 3960 and 3965

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

LCM of:
and

Least Common Multiple of 3960 and 3965

LCM of 3960 and 3965 is 3140280

Least common multiple can be found by multiplying the highest exponent prime factors of 3960 and 3965. First we will calculate the prime factors of 3960 and 3965.

Prime Factorization of 3960


2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 3960 are 2, 3, 5,11. Prime factorization of 3960 in exponential form is:

3960 = 23×32×51×111

Prime Factorization of 3965


5 3965
13 793
61 61
1

Prime factors of 3965 are 5, 13,61. Prime factorization of 3965 in exponential form is:

3965 = 51×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3960 and 3965.

LCM(3960,3965) = 23×32×51×111×131×611
LCM(3960,3965) = 3140280

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960

Factors of 3965

List of positive integer factors of 3965 that divides 3965 without a remainder.

1, 5, 13, 61, 65, 305, 793, 3965

Least Common Multiple of 3960 and 3965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3960 and 3965, than apply into the LCM equation.

GCF(3960,3965) = 5
LCM(3960,3965) = ( 3960 × 3965) / 5
LCM(3960,3965) = 15701400 / 5
LCM(3960,3965) = 3140280

Properties of LCM 3960 and 3965

(i) The LCM of 3965 and 3960 is associative

LCM of 3960 and 3965 = LCM of 3965 and 3960

Related Least Common Multiples of 3960

Related Least Common Multiples of 3965

Frequently Asked Questions on LCM of 3960 and 3965

1. What is the LCM of 3960 and 3965?

Answer: LCM of 3960 and 3965 is 3140280.

2. What are the Factors of 3960?

Answer: Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. There are 48 integers that are factors of 3960. The greatest factor of 3960 is 3960.

3. What are the Factors of 3965?

Answer: Factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965. There are 8 integers that are factors of 3965. The greatest factor of 3965 is 3965.

4. How to Find the LCM of 3960 and 3965?

Answer:

Least Common Multiple of 3960 and 3965 = 3140280

Step 1: Find the prime factorization of 3960

3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 3965

3965 = 5 x 13 x 61

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

LCM = 3140280 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 3960 and 3965 is 3140280.