Least Common Multiple of 3965 and 3967

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 3967 the smallest integer that is 15729155 that is divisible by both numbers.

Least Common Multiple (LCM) of 3965 and 3967 is 15729155.

LCM(3965,3967) = 15729155

LCM of 3965 and 3967

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

LCM of:
and

Least Common Multiple of 3965 and 3967

LCM of 3965 and 3967 is 15729155

Least common multiple can be found by multiplying the highest exponent prime factors of 3965 and 3967. First we will calculate the prime factors of 3965 and 3967.

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 3967


3967 3967
1

Prime factors of 3967 are 3967. Prime factorization of 3967 in exponential form is:

3967 = 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 3965 and 3967.

LCM(3965,3967) = 51×131×611×39671
LCM(3965,3967) = 15729155

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 3967

List of positive integer factors of 3967 that divides 3967 without a remainder.

1, 3967

Least Common Multiple of 3965 and 3967 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 3967, than apply into the LCM equation.

GCF(3965,3967) = 1
LCM(3965,3967) = ( 3965 × 3967) / 1
LCM(3965,3967) = 15729155 / 1
LCM(3965,3967) = 15729155

Properties of LCM 3965 and 3967

(i) The LCM of 3967 and 3965 is associative

LCM of 3965 and 3967 = LCM of 3967 and 3965

Related Least Common Multiples of 3965

Related Least Common Multiples of 3967

Frequently Asked Questions on LCM of 3965 and 3967

1. What is the LCM of 3965 and 3967?

Answer: LCM of 3965 and 3967 is 15729155.

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 3967?

Answer: Factors of 3967 are 1, 3967. There are 2 integers that are factors of 3967. The greatest factor of 3967 is 3967.

4. How to Find the LCM of 3965 and 3967?

Answer:

Least Common Multiple of 3965 and 3967 = 15729155

Step 1: Find the prime factorization of 3965

3965 = 5 x 13 x 61

Step 2: Find the prime factorization of 3967

3967 = 3967

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

LCM = 15729155 = 5 x 13 x 61 x 3967

Step 4: Therefore, the least common multiple of 3965 and 3967 is 15729155.