Least Common Multiple of 3963 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 3963 and 3970 the smallest integer that is 15733110 that is divisible by both numbers.

Least Common Multiple (LCM) of 3963 and 3970 is 15733110.

LCM(3963,3970) = 15733110

LCM of 3963 and 3970

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

LCM of:
and

Least Common Multiple of 3963 and 3970

LCM of 3963 and 3970 is 15733110

Least common multiple can be found by multiplying the highest exponent prime factors of 3963 and 3970. First we will calculate the prime factors of 3963 and 3970.

Prime Factorization of 3963


3 3963
1321 1321
1

Prime factors of 3963 are 3,1321. Prime factorization of 3963 in exponential form is:

3963 = 31×13211

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 3963 and 3970.

LCM(3963,3970) = 21×31×51×3971×13211
LCM(3963,3970) = 15733110

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1, 3, 1321, 3963

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 3963 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 3963 and 3970, than apply into the LCM equation.

GCF(3963,3970) = 1
LCM(3963,3970) = ( 3963 × 3970) / 1
LCM(3963,3970) = 15733110 / 1
LCM(3963,3970) = 15733110

Properties of LCM 3963 and 3970

(i) The LCM of 3970 and 3963 is associative

LCM of 3963 and 3970 = LCM of 3970 and 3963

Related Least Common Multiples of 3963

Related Least Common Multiples of 3970

Frequently Asked Questions on LCM of 3963 and 3970

1. What is the LCM of 3963 and 3970?

Answer: LCM of 3963 and 3970 is 15733110.

2. What are the Factors of 3963?

Answer: Factors of 3963 are 1, 3, 1321, 3963. There are 4 integers that are factors of 3963. The greatest factor of 3963 is 3963.

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 3963 and 3970?

Answer:

Least Common Multiple of 3963 and 3970 = 15733110

Step 1: Find the prime factorization of 3963

3963 = 3 x 1321

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 = 15733110 = 2 x 3 x 5 x 397 x 1321

Step 4: Therefore, the least common multiple of 3963 and 3970 is 15733110.