Least Common Multiple of 3965 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 3965 and 3970 the smallest integer that is 3148210 that is divisible by both numbers.

Least Common Multiple (LCM) of 3965 and 3970 is 3148210.

LCM(3965,3970) = 3148210

LCM of 3965 and 3970

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

LCM of:
and

Least Common Multiple of 3965 and 3970

LCM of 3965 and 3970 is 3148210

Least common multiple can be found by multiplying the highest exponent prime factors of 3965 and 3970. First we will calculate the prime factors of 3965 and 3970.

Prime Factorization of 3965


5 3965
13 793
61 61
1

Prime factors of 3965 are 5, 13,61. Prime factorization of 3965 in exponential form is:

3965 = 51×131×611

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 3965 and 3970.

LCM(3965,3970) = 21×51×131×611×3971
LCM(3965,3970) = 3148210

Factors of 3965

List of positive integer factors of 3965 that divides 3965 without a remainder.

1, 5, 13, 61, 65, 305, 793, 3965

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 3965 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 3965 and 3970, than apply into the LCM equation.

GCF(3965,3970) = 5
LCM(3965,3970) = ( 3965 × 3970) / 5
LCM(3965,3970) = 15741050 / 5
LCM(3965,3970) = 3148210

Properties of LCM 3965 and 3970

(i) The LCM of 3970 and 3965 is associative

LCM of 3965 and 3970 = LCM of 3970 and 3965

Related Least Common Multiples of 3965

Related Least Common Multiples of 3970

Frequently Asked Questions on LCM of 3965 and 3970

1. What is the LCM of 3965 and 3970?

Answer: LCM of 3965 and 3970 is 3148210.

2. What are the Factors of 3965?

Answer: Factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965. There are 8 integers that are factors of 3965. The greatest factor of 3965 is 3965.

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 3965 and 3970?

Answer:

Least Common Multiple of 3965 and 3970 = 3148210

Step 1: Find the prime factorization of 3965

3965 = 5 x 13 x 61

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 = 3148210 = 2 x 5 x 13 x 61 x 397

Step 4: Therefore, the least common multiple of 3965 and 3970 is 3148210.