Least Common Multiple of 3974 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 3974 and 3980 the smallest integer that is 7908260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3974 and 3980 is 7908260.

LCM(3974,3980) = 7908260

LCM of 3974 and 3980

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

LCM of:
and

Least Common Multiple of 3974 and 3980

LCM of 3974 and 3980 is 7908260

Least common multiple can be found by multiplying the highest exponent prime factors of 3974 and 3980. First we will calculate the prime factors of 3974 and 3980.

Prime Factorization of 3974


2 3974
1987 1987
1

Prime factors of 3974 are 2,1987. Prime factorization of 3974 in exponential form is:

3974 = 21×19871

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 3974 and 3980.

LCM(3974,3980) = 22×51×1991×19871
LCM(3974,3980) = 7908260

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1, 2, 1987, 3974

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 3974 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 3974 and 3980, than apply into the LCM equation.

GCF(3974,3980) = 2
LCM(3974,3980) = ( 3974 × 3980) / 2
LCM(3974,3980) = 15816520 / 2
LCM(3974,3980) = 7908260

Properties of LCM 3974 and 3980

(i) The LCM of 3980 and 3974 is associative

LCM of 3974 and 3980 = LCM of 3980 and 3974

Related Least Common Multiples of 3974

Related Least Common Multiples of 3980

Frequently Asked Questions on LCM of 3974 and 3980

1. What is the LCM of 3974 and 3980?

Answer: LCM of 3974 and 3980 is 7908260.

2. What are the Factors of 3974?

Answer: Factors of 3974 are 1, 2, 1987, 3974. There are 4 integers that are factors of 3974. The greatest factor of 3974 is 3974.

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 3974 and 3980?

Answer:

Least Common Multiple of 3974 and 3980 = 7908260

Step 1: Find the prime factorization of 3974

3974 = 2 x 1987

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 = 7908260 = 2 x 2 x 5 x 199 x 1987

Step 4: Therefore, the least common multiple of 3974 and 3980 is 7908260.