Least Common Multiple of 3967 and 3973

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 3973 the smallest integer that is 15760891 that is divisible by both numbers.

Least Common Multiple (LCM) of 3967 and 3973 is 15760891.

LCM(3967,3973) = 15760891

LCM of 3967 and 3973

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

LCM of:
and

Least Common Multiple of 3967 and 3973

LCM of 3967 and 3973 is 15760891

Least common multiple can be found by multiplying the highest exponent prime factors of 3967 and 3973. First we will calculate the prime factors of 3967 and 3973.

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 3973


29 3973
137 137
1

Prime factors of 3973 are 29,137. Prime factorization of 3973 in exponential form is:

3973 = 291×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3967 and 3973.

LCM(3967,3973) = 291×1371×39671
LCM(3967,3973) = 15760891

Factors of 3967

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

1, 3967

Factors of 3973

List of positive integer factors of 3973 that divides 3973 without a remainder.

1, 29, 137, 3973

Least Common Multiple of 3967 and 3973 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 3973, than apply into the LCM equation.

GCF(3967,3973) = 1
LCM(3967,3973) = ( 3967 × 3973) / 1
LCM(3967,3973) = 15760891 / 1
LCM(3967,3973) = 15760891

Properties of LCM 3967 and 3973

(i) The LCM of 3973 and 3967 is associative

LCM of 3967 and 3973 = LCM of 3973 and 3967

Related Least Common Multiples of 3967

Related Least Common Multiples of 3973

Frequently Asked Questions on LCM of 3967 and 3973

1. What is the LCM of 3967 and 3973?

Answer: LCM of 3967 and 3973 is 15760891.

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 3973?

Answer: Factors of 3973 are 1, 29, 137, 3973. There are 4 integers that are factors of 3973. The greatest factor of 3973 is 3973.

4. How to Find the LCM of 3967 and 3973?

Answer:

Least Common Multiple of 3967 and 3973 = 15760891

Step 1: Find the prime factorization of 3967

3967 = 3967

Step 2: Find the prime factorization of 3973

3973 = 29 x 137

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

LCM = 15760891 = 29 x 137 x 3967

Step 4: Therefore, the least common multiple of 3967 and 3973 is 15760891.