Least Common Multiple of 3955 and 3963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3955 and 3963 the smallest integer that is 15673665 that is divisible by both numbers.

Least Common Multiple (LCM) of 3955 and 3963 is 15673665.

LCM(3955,3963) = 15673665

LCM of 3955 and 3963

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

LCM of:
and

Least Common Multiple of 3955 and 3963

LCM of 3955 and 3963 is 15673665

Least common multiple can be found by multiplying the highest exponent prime factors of 3955 and 3963. First we will calculate the prime factors of 3955 and 3963.

Prime Factorization of 3955


5 3955
7 791
113 113
1

Prime factors of 3955 are 5, 7,113. Prime factorization of 3955 in exponential form is:

3955 = 51×71×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3955 and 3963.

LCM(3955,3963) = 31×51×71×1131×13211
LCM(3955,3963) = 15673665

Factors of 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1, 5, 7, 35, 113, 565, 791, 3955

Factors of 3963

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

1, 3, 1321, 3963

Least Common Multiple of 3955 and 3963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3955 and 3963, than apply into the LCM equation.

GCF(3955,3963) = 1
LCM(3955,3963) = ( 3955 × 3963) / 1
LCM(3955,3963) = 15673665 / 1
LCM(3955,3963) = 15673665

Properties of LCM 3955 and 3963

(i) The LCM of 3963 and 3955 is associative

LCM of 3955 and 3963 = LCM of 3963 and 3955

Related Least Common Multiples of 3955

Related Least Common Multiples of 3963

Frequently Asked Questions on LCM of 3955 and 3963

1. What is the LCM of 3955 and 3963?

Answer: LCM of 3955 and 3963 is 15673665.

2. What are the Factors of 3955?

Answer: Factors of 3955 are 1, 5, 7, 35, 113, 565, 791, 3955. There are 8 integers that are factors of 3955. The greatest factor of 3955 is 3955.

3. 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.

4. How to Find the LCM of 3955 and 3963?

Answer:

Least Common Multiple of 3955 and 3963 = 15673665

Step 1: Find the prime factorization of 3955

3955 = 5 x 7 x 113

Step 2: Find the prime factorization of 3963

3963 = 3 x 1321

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

LCM = 15673665 = 3 x 5 x 7 x 113 x 1321

Step 4: Therefore, the least common multiple of 3955 and 3963 is 15673665.