Least Common Multiple of 3980 and 3985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3980 and 3985 the smallest integer that is 3172060 that is divisible by both numbers.

Least Common Multiple (LCM) of 3980 and 3985 is 3172060.

LCM(3980,3985) = 3172060

LCM of 3980 and 3985

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

LCM of:
and

Least Common Multiple of 3980 and 3985

LCM of 3980 and 3985 is 3172060

Least common multiple can be found by multiplying the highest exponent prime factors of 3980 and 3985. First we will calculate the prime factors of 3980 and 3985.

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

Prime Factorization of 3985


5 3985
797 797
1

Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:

3985 = 51×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 3980 and 3985.

LCM(3980,3985) = 22×51×1991×7971
LCM(3980,3985) = 3172060

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

Factors of 3985

List of positive integer factors of 3985 that divides 3985 without a remainder.

1, 5, 797, 3985

Least Common Multiple of 3980 and 3985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3980 and 3985, than apply into the LCM equation.

GCF(3980,3985) = 5
LCM(3980,3985) = ( 3980 × 3985) / 5
LCM(3980,3985) = 15860300 / 5
LCM(3980,3985) = 3172060

Properties of LCM 3980 and 3985

(i) The LCM of 3985 and 3980 is associative

LCM of 3980 and 3985 = LCM of 3985 and 3980

Related Least Common Multiples of 3980

Related Least Common Multiples of 3985

Frequently Asked Questions on LCM of 3980 and 3985

1. What is the LCM of 3980 and 3985?

Answer: LCM of 3980 and 3985 is 3172060.

2. 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.

3. What are the Factors of 3985?

Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.

4. How to Find the LCM of 3980 and 3985?

Answer:

Least Common Multiple of 3980 and 3985 = 3172060

Step 1: Find the prime factorization of 3980

3980 = 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 3985

3985 = 5 x 797

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

LCM = 3172060 = 2 x 2 x 5 x 199 x 797

Step 4: Therefore, the least common multiple of 3980 and 3985 is 3172060.