Least Common Multiple of 3967 and 3969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3967 and 3969 the smallest integer that is 15745023 that is divisible by both numbers.

Least Common Multiple (LCM) of 3967 and 3969 is 15745023.

LCM(3967,3969) = 15745023

LCM of 3967 and 3969

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

LCM of:
and

Least Common Multiple of 3967 and 3969

LCM of 3967 and 3969 is 15745023

Least common multiple can be found by multiplying the highest exponent prime factors of 3967 and 3969. First we will calculate the prime factors of 3967 and 3969.

Prime Factorization of 3967


3967 3967
1

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

3967 = 39671

Prime Factorization of 3969


3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:

3969 = 34×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3967 and 3969.

LCM(3967,3969) = 34×72×39671
LCM(3967,3969) = 15745023

Factors of 3967

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

1, 3967

Factors of 3969

List of positive integer factors of 3969 that divides 3969 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969

Least Common Multiple of 3967 and 3969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3967 and 3969, than apply into the LCM equation.

GCF(3967,3969) = 1
LCM(3967,3969) = ( 3967 × 3969) / 1
LCM(3967,3969) = 15745023 / 1
LCM(3967,3969) = 15745023

Properties of LCM 3967 and 3969

(i) The LCM of 3969 and 3967 is associative

LCM of 3967 and 3969 = LCM of 3969 and 3967

Related Least Common Multiples of 3967

Related Least Common Multiples of 3969

Frequently Asked Questions on LCM of 3967 and 3969

1. What is the LCM of 3967 and 3969?

Answer: LCM of 3967 and 3969 is 15745023.

2. 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.

3. What are the Factors of 3969?

Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.

4. How to Find the LCM of 3967 and 3969?

Answer:

Least Common Multiple of 3967 and 3969 = 15745023

Step 1: Find the prime factorization of 3967

3967 = 3967

Step 2: Find the prime factorization of 3969

3969 = 3 x 3 x 3 x 3 x 7 x 7

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

LCM = 15745023 = 3 x 3 x 3 x 3 x 7 x 7 x 3967

Step 4: Therefore, the least common multiple of 3967 and 3969 is 15745023.