Least Common Multiple of 3967 and 3970

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 3970 the smallest integer that is 15748990 that is divisible by both numbers.

Least Common Multiple (LCM) of 3967 and 3970 is 15748990.

LCM(3967,3970) = 15748990

LCM of 3967 and 3970

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

LCM of:
and

Least Common Multiple of 3967 and 3970

LCM of 3967 and 3970 is 15748990

Least common multiple can be found by multiplying the highest exponent prime factors of 3967 and 3970. First we will calculate the prime factors of 3967 and 3970.

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 3970


2 3970
5 1985
397 397
1

Prime factors of 3970 are 2, 5,397. Prime factorization of 3970 in exponential form is:

3970 = 21×51×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 3967 and 3970.

LCM(3967,3970) = 21×51×3971×39671
LCM(3967,3970) = 15748990

Factors of 3967

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

1, 3967

Factors of 3970

List of positive integer factors of 3970 that divides 3970 without a remainder.

1, 2, 5, 10, 397, 794, 1985, 3970

Least Common Multiple of 3967 and 3970 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 3970, than apply into the LCM equation.

GCF(3967,3970) = 1
LCM(3967,3970) = ( 3967 × 3970) / 1
LCM(3967,3970) = 15748990 / 1
LCM(3967,3970) = 15748990

Properties of LCM 3967 and 3970

(i) The LCM of 3970 and 3967 is associative

LCM of 3967 and 3970 = LCM of 3970 and 3967

Related Least Common Multiples of 3967

Related Least Common Multiples of 3970

Frequently Asked Questions on LCM of 3967 and 3970

1. What is the LCM of 3967 and 3970?

Answer: LCM of 3967 and 3970 is 15748990.

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 3970?

Answer: Factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970. There are 8 integers that are factors of 3970. The greatest factor of 3970 is 3970.

4. How to Find the LCM of 3967 and 3970?

Answer:

Least Common Multiple of 3967 and 3970 = 15748990

Step 1: Find the prime factorization of 3967

3967 = 3967

Step 2: Find the prime factorization of 3970

3970 = 2 x 5 x 397

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

LCM = 15748990 = 2 x 5 x 397 x 3967

Step 4: Therefore, the least common multiple of 3967 and 3970 is 15748990.