Least Common Multiple of 3974 and 3977

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 3977 the smallest integer that is 15804598 that is divisible by both numbers.

Least Common Multiple (LCM) of 3974 and 3977 is 15804598.

LCM(3974,3977) = 15804598

LCM of 3974 and 3977

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

LCM of:
and

Least Common Multiple of 3974 and 3977

LCM of 3974 and 3977 is 15804598

Least common multiple can be found by multiplying the highest exponent prime factors of 3974 and 3977. First we will calculate the prime factors of 3974 and 3977.

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 3977


41 3977
97 97
1

Prime factors of 3977 are 41,97. Prime factorization of 3977 in exponential form is:

3977 = 411×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3974 and 3977.

LCM(3974,3977) = 21×411×971×19871
LCM(3974,3977) = 15804598

Factors of 3974

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

1, 2, 1987, 3974

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1, 41, 97, 3977

Least Common Multiple of 3974 and 3977 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 3977, than apply into the LCM equation.

GCF(3974,3977) = 1
LCM(3974,3977) = ( 3974 × 3977) / 1
LCM(3974,3977) = 15804598 / 1
LCM(3974,3977) = 15804598

Properties of LCM 3974 and 3977

(i) The LCM of 3977 and 3974 is associative

LCM of 3974 and 3977 = LCM of 3977 and 3974

Related Least Common Multiples of 3974

Related Least Common Multiples of 3977

Frequently Asked Questions on LCM of 3974 and 3977

1. What is the LCM of 3974 and 3977?

Answer: LCM of 3974 and 3977 is 15804598.

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 3977?

Answer: Factors of 3977 are 1, 41, 97, 3977. There are 4 integers that are factors of 3977. The greatest factor of 3977 is 3977.

4. How to Find the LCM of 3974 and 3977?

Answer:

Least Common Multiple of 3974 and 3977 = 15804598

Step 1: Find the prime factorization of 3974

3974 = 2 x 1987

Step 2: Find the prime factorization of 3977

3977 = 41 x 97

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

LCM = 15804598 = 2 x 41 x 97 x 1987

Step 4: Therefore, the least common multiple of 3974 and 3977 is 15804598.