Least Common Multiple of 3975 and 3980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3975 and 3980 the smallest integer that is 3164100 that is divisible by both numbers.

Least Common Multiple (LCM) of 3975 and 3980 is 3164100.

LCM(3975,3980) = 3164100

LCM of 3975 and 3980

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

LCM of:
and

Least Common Multiple of 3975 and 3980

LCM of 3975 and 3980 is 3164100

Least common multiple can be found by multiplying the highest exponent prime factors of 3975 and 3980. First we will calculate the prime factors of 3975 and 3980.

Prime Factorization of 3975


3 3975
5 1325
5 265
53 53
1

Prime factors of 3975 are 3, 5,53. Prime factorization of 3975 in exponential form is:

3975 = 31×52×531

Prime Factorization of 3980


2 3980
2 1990
5 995
199 199
1

Prime factors of 3980 are 2, 5,199. Prime factorization of 3980 in exponential form is:

3980 = 22×51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 3975 and 3980.

LCM(3975,3980) = 22×31×52×531×1991
LCM(3975,3980) = 3164100

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980

Least Common Multiple of 3975 and 3980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3975 and 3980, than apply into the LCM equation.

GCF(3975,3980) = 5
LCM(3975,3980) = ( 3975 × 3980) / 5
LCM(3975,3980) = 15820500 / 5
LCM(3975,3980) = 3164100

Properties of LCM 3975 and 3980

(i) The LCM of 3980 and 3975 is associative

LCM of 3975 and 3980 = LCM of 3980 and 3975

Related Least Common Multiples of 3975

Related Least Common Multiples of 3980

Frequently Asked Questions on LCM of 3975 and 3980

1. What is the LCM of 3975 and 3980?

Answer: LCM of 3975 and 3980 is 3164100.

2. What are the Factors of 3975?

Answer: Factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975. There are 12 integers that are factors of 3975. The greatest factor of 3975 is 3975.

3. What are the Factors of 3980?

Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.

4. How to Find the LCM of 3975 and 3980?

Answer:

Least Common Multiple of 3975 and 3980 = 3164100

Step 1: Find the prime factorization of 3975

3975 = 3 x 5 x 5 x 53

Step 2: Find the prime factorization of 3980

3980 = 2 x 2 x 5 x 199

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

LCM = 3164100 = 2 x 2 x 3 x 5 x 5 x 53 x 199

Step 4: Therefore, the least common multiple of 3975 and 3980 is 3164100.