Least Common Multiple of 3965 and 3972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3965 and 3972 the smallest integer that is 15748980 that is divisible by both numbers.

Least Common Multiple (LCM) of 3965 and 3972 is 15748980.

LCM(3965,3972) = 15748980

LCM of 3965 and 3972

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

LCM of:
and

Least Common Multiple of 3965 and 3972

LCM of 3965 and 3972 is 15748980

Least common multiple can be found by multiplying the highest exponent prime factors of 3965 and 3972. First we will calculate the prime factors of 3965 and 3972.

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

Prime Factorization of 3972


2 3972
2 1986
3 993
331 331
1

Prime factors of 3972 are 2, 3,331. Prime factorization of 3972 in exponential form is:

3972 = 22×31×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 3965 and 3972.

LCM(3965,3972) = 22×31×51×131×611×3311
LCM(3965,3972) = 15748980

Factors of 3965

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

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

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972

Least Common Multiple of 3965 and 3972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3965 and 3972, than apply into the LCM equation.

GCF(3965,3972) = 1
LCM(3965,3972) = ( 3965 × 3972) / 1
LCM(3965,3972) = 15748980 / 1
LCM(3965,3972) = 15748980

Properties of LCM 3965 and 3972

(i) The LCM of 3972 and 3965 is associative

LCM of 3965 and 3972 = LCM of 3972 and 3965

Related Least Common Multiples of 3965

Related Least Common Multiples of 3972

Frequently Asked Questions on LCM of 3965 and 3972

1. What is the LCM of 3965 and 3972?

Answer: LCM of 3965 and 3972 is 15748980.

2. 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.

3. What are the Factors of 3972?

Answer: Factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. There are 12 integers that are factors of 3972. The greatest factor of 3972 is 3972.

4. How to Find the LCM of 3965 and 3972?

Answer:

Least Common Multiple of 3965 and 3972 = 15748980

Step 1: Find the prime factorization of 3965

3965 = 5 x 13 x 61

Step 2: Find the prime factorization of 3972

3972 = 2 x 2 x 3 x 331

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

LCM = 15748980 = 2 x 2 x 3 x 5 x 13 x 61 x 331

Step 4: Therefore, the least common multiple of 3965 and 3972 is 15748980.