Least Common Multiple of 3974 and 3978

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 3978 the smallest integer that is 7904286 that is divisible by both numbers.

Least Common Multiple (LCM) of 3974 and 3978 is 7904286.

LCM(3974,3978) = 7904286

LCM of 3974 and 3978

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

LCM of:
and

Least Common Multiple of 3974 and 3978

LCM of 3974 and 3978 is 7904286

Least common multiple can be found by multiplying the highest exponent prime factors of 3974 and 3978. First we will calculate the prime factors of 3974 and 3978.

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 3978


2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 3978 are 2, 3, 13,17. Prime factorization of 3978 in exponential form is:

3978 = 21×32×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3974 and 3978.

LCM(3974,3978) = 21×32×131×171×19871
LCM(3974,3978) = 7904286

Factors of 3974

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

1, 2, 1987, 3974

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978

Least Common Multiple of 3974 and 3978 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 3978, than apply into the LCM equation.

GCF(3974,3978) = 2
LCM(3974,3978) = ( 3974 × 3978) / 2
LCM(3974,3978) = 15808572 / 2
LCM(3974,3978) = 7904286

Properties of LCM 3974 and 3978

(i) The LCM of 3978 and 3974 is associative

LCM of 3974 and 3978 = LCM of 3978 and 3974

Related Least Common Multiples of 3974

Related Least Common Multiples of 3978

Frequently Asked Questions on LCM of 3974 and 3978

1. What is the LCM of 3974 and 3978?

Answer: LCM of 3974 and 3978 is 7904286.

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 3978?

Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.

4. How to Find the LCM of 3974 and 3978?

Answer:

Least Common Multiple of 3974 and 3978 = 7904286

Step 1: Find the prime factorization of 3974

3974 = 2 x 1987

Step 2: Find the prime factorization of 3978

3978 = 2 x 3 x 3 x 13 x 17

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

LCM = 7904286 = 2 x 3 x 3 x 13 x 17 x 1987

Step 4: Therefore, the least common multiple of 3974 and 3978 is 7904286.