Least Common Multiple of 3957 and 3962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3957 and 3962 the smallest integer that is 15677634 that is divisible by both numbers.

Least Common Multiple (LCM) of 3957 and 3962 is 15677634.

LCM(3957,3962) = 15677634

LCM of 3957 and 3962

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

LCM of:
and

Least Common Multiple of 3957 and 3962

LCM of 3957 and 3962 is 15677634

Least common multiple can be found by multiplying the highest exponent prime factors of 3957 and 3962. First we will calculate the prime factors of 3957 and 3962.

Prime Factorization of 3957


3 3957
1319 1319
1

Prime factors of 3957 are 3,1319. Prime factorization of 3957 in exponential form is:

3957 = 31×13191

Prime Factorization of 3962


2 3962
7 1981
283 283
1

Prime factors of 3962 are 2, 7,283. Prime factorization of 3962 in exponential form is:

3962 = 21×71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 3957 and 3962.

LCM(3957,3962) = 21×31×71×2831×13191
LCM(3957,3962) = 15677634

Factors of 3957

List of positive integer factors of 3957 that divides 3957 without a remainder.

1, 3, 1319, 3957

Factors of 3962

List of positive integer factors of 3962 that divides 3962 without a remainder.

1, 2, 7, 14, 283, 566, 1981, 3962

Least Common Multiple of 3957 and 3962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3957 and 3962, than apply into the LCM equation.

GCF(3957,3962) = 1
LCM(3957,3962) = ( 3957 × 3962) / 1
LCM(3957,3962) = 15677634 / 1
LCM(3957,3962) = 15677634

Properties of LCM 3957 and 3962

(i) The LCM of 3962 and 3957 is associative

LCM of 3957 and 3962 = LCM of 3962 and 3957

Related Least Common Multiples of 3957

Related Least Common Multiples of 3962

Frequently Asked Questions on LCM of 3957 and 3962

1. What is the LCM of 3957 and 3962?

Answer: LCM of 3957 and 3962 is 15677634.

2. What are the Factors of 3957?

Answer: Factors of 3957 are 1, 3, 1319, 3957. There are 4 integers that are factors of 3957. The greatest factor of 3957 is 3957.

3. What are the Factors of 3962?

Answer: Factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962. There are 8 integers that are factors of 3962. The greatest factor of 3962 is 3962.

4. How to Find the LCM of 3957 and 3962?

Answer:

Least Common Multiple of 3957 and 3962 = 15677634

Step 1: Find the prime factorization of 3957

3957 = 3 x 1319

Step 2: Find the prime factorization of 3962

3962 = 2 x 7 x 283

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

LCM = 15677634 = 2 x 3 x 7 x 283 x 1319

Step 4: Therefore, the least common multiple of 3957 and 3962 is 15677634.