Least Common Multiple of 3970 and 3971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3970 and 3971 the smallest integer that is 15764870 that is divisible by both numbers.

Least Common Multiple (LCM) of 3970 and 3971 is 15764870.

LCM(3970,3971) = 15764870

LCM of 3970 and 3971

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

LCM of:
and

Least Common Multiple of 3970 and 3971

LCM of 3970 and 3971 is 15764870

Least common multiple can be found by multiplying the highest exponent prime factors of 3970 and 3971. First we will calculate the prime factors of 3970 and 3971.

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

Prime Factorization of 3971


11 3971
19 361
19 19
1

Prime factors of 3971 are 11,19. Prime factorization of 3971 in exponential form is:

3971 = 111×192

Now multiplying the highest exponent prime factors to calculate the LCM of 3970 and 3971.

LCM(3970,3971) = 21×51×111×192×3971
LCM(3970,3971) = 15764870

Factors of 3970

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

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

Factors of 3971

List of positive integer factors of 3971 that divides 3971 without a remainder.

1, 11, 19, 209, 361, 3971

Least Common Multiple of 3970 and 3971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3970 and 3971, than apply into the LCM equation.

GCF(3970,3971) = 1
LCM(3970,3971) = ( 3970 × 3971) / 1
LCM(3970,3971) = 15764870 / 1
LCM(3970,3971) = 15764870

Properties of LCM 3970 and 3971

(i) The LCM of 3971 and 3970 is associative

LCM of 3970 and 3971 = LCM of 3971 and 3970

Related Least Common Multiples of 3970

Related Least Common Multiples of 3971

Frequently Asked Questions on LCM of 3970 and 3971

1. What is the LCM of 3970 and 3971?

Answer: LCM of 3970 and 3971 is 15764870.

2. 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.

3. What are the Factors of 3971?

Answer: Factors of 3971 are 1, 11, 19, 209, 361, 3971. There are 6 integers that are factors of 3971. The greatest factor of 3971 is 3971.

4. How to Find the LCM of 3970 and 3971?

Answer:

Least Common Multiple of 3970 and 3971 = 15764870

Step 1: Find the prime factorization of 3970

3970 = 2 x 5 x 397

Step 2: Find the prime factorization of 3971

3971 = 11 x 19 x 19

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

LCM = 15764870 = 2 x 5 x 11 x 19 x 19 x 397

Step 4: Therefore, the least common multiple of 3970 and 3971 is 15764870.