Least Common Multiple of 3967 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 3967 and 3972 the smallest integer that is 15756924 that is divisible by both numbers.

Least Common Multiple (LCM) of 3967 and 3972 is 15756924.

LCM(3967,3972) = 15756924

LCM of 3967 and 3972

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

LCM of:
and

Least Common Multiple of 3967 and 3972

LCM of 3967 and 3972 is 15756924

Least common multiple can be found by multiplying the highest exponent prime factors of 3967 and 3972. First we will calculate the prime factors of 3967 and 3972.

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 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 3967 and 3972.

LCM(3967,3972) = 22×31×3311×39671
LCM(3967,3972) = 15756924

Factors of 3967

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

1, 3967

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 3967 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 3967 and 3972, than apply into the LCM equation.

GCF(3967,3972) = 1
LCM(3967,3972) = ( 3967 × 3972) / 1
LCM(3967,3972) = 15756924 / 1
LCM(3967,3972) = 15756924

Properties of LCM 3967 and 3972

(i) The LCM of 3972 and 3967 is associative

LCM of 3967 and 3972 = LCM of 3972 and 3967

Related Least Common Multiples of 3967

Related Least Common Multiples of 3972

Frequently Asked Questions on LCM of 3967 and 3972

1. What is the LCM of 3967 and 3972?

Answer: LCM of 3967 and 3972 is 15756924.

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 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 3967 and 3972?

Answer:

Least Common Multiple of 3967 and 3972 = 15756924

Step 1: Find the prime factorization of 3967

3967 = 3967

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 = 15756924 = 2 x 2 x 3 x 331 x 3967

Step 4: Therefore, the least common multiple of 3967 and 3972 is 15756924.